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Finding the Fourth Proportional to 8,534.52, 12,803.52 and 4,838.40

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Solution

The fourth proportional to 8,534.52, 12,803.52 and 4,838.40 is: 7,258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.52 : 12,803.52 = 4,838.40 : x
  2. Step 2: Convert to fraction form
    8,534.52/12,803.52 = 4,838.40/x
  3. Step 3: Cross multiply
    8,534.52x = 12,803.52 × 4,838.40
  4. Step 4: Simplify right side
    8,534.52x = 61,948,462.96
  5. Step 5: Solve for x
    x = 61,948,462.96/8,534.52
  6. Step 6: Final answer
    x = 7,258.58

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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.