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Finding the Fourth Proportional to 10,285.59, 15,419.04 and 3,707.10

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Solution

The fourth proportional to 10,285.59, 15,419.04 and 3,707.10 is: 5,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.59 : 15,419.04 = 3,707.10 : x
  2. Step 2: Convert to fraction form
    10,285.59/15,419.04 = 3,707.10/x
  3. Step 3: Cross multiply
    10,285.59x = 15,419.04 × 3,707.10
  4. Step 4: Simplify right side
    10,285.59x = 57,159,923.18
  5. Step 5: Solve for x
    x = 57,159,923.18/10,285.59
  6. Step 6: Final answer
    x = 5,557.28

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