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Finding the Fourth Proportional to 10,318.56, 15,472.74 and 7,355.40

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Solution

The fourth proportional to 10,318.56, 15,472.74 and 7,355.40 is: 11,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.56 : 15,472.74 = 7,355.40 : x
  2. Step 2: Convert to fraction form
    10,318.56/15,472.74 = 7,355.40/x
  3. Step 3: Cross multiply
    10,318.56x = 15,472.74 × 7,355.40
  4. Step 4: Simplify right side
    10,318.56x = 113,808,191.80
  5. Step 5: Solve for x
    x = 113,808,191.80/10,318.56
  6. Step 6: Final answer
    x = 11,029.46

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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.