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Finding the Fourth Proportional to 10,355.52, 15,535.10 and 4,429.15

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Solution

The fourth proportional to 10,355.52, 15,535.10 and 4,429.15 is: 6,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.52 : 15,535.10 = 4,429.15 : x
  2. Step 2: Convert to fraction form
    10,355.52/15,535.10 = 4,429.15/x
  3. Step 3: Cross multiply
    10,355.52x = 15,535.10 × 4,429.15
  4. Step 4: Simplify right side
    10,355.52x = 68,807,288.17
  5. Step 5: Solve for x
    x = 68,807,288.17/10,355.52
  6. Step 6: Final answer
    x = 6,644.50

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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.