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Finding the Fourth Proportional to 8,321.52, 12,475.60 and 4,807.50

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Solution

The fourth proportional to 8,321.52, 12,475.60 and 4,807.50 is: 7,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.52 : 12,475.60 = 4,807.50 : x
  2. Step 2: Convert to fraction form
    8,321.52/12,475.60 = 4,807.50/x
  3. Step 3: Cross multiply
    8,321.52x = 12,475.60 × 4,807.50
  4. Step 4: Simplify right side
    8,321.52x = 59,976,447
  5. Step 5: Solve for x
    x = 59,976,447/8,321.52
  6. Step 6: Final answer
    x = 7,207.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.