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Finding the Fourth Proportional to 8,203.52, 11,325.50 and 5,417.12

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Solution

The fourth proportional to 8,203.52, 11,325.50 and 5,417.12 is: 7,478.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.52 : 11,325.50 = 5,417.12 : x
  2. Step 2: Convert to fraction form
    8,203.52/11,325.50 = 5,417.12/x
  3. Step 3: Cross multiply
    8,203.52x = 11,325.50 × 5,417.12
  4. Step 4: Simplify right side
    8,203.52x = 61,351,592.56
  5. Step 5: Solve for x
    x = 61,351,592.56/8,203.52
  6. Step 6: Final answer
    x = 7,478.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.