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Finding the Fourth Proportional to 11,431.85, 15,740.90 and 10,007.57

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Solution

The fourth proportional to 11,431.85, 15,740.90 and 10,007.57 is: 13,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.85 : 15,740.90 = 10,007.57 : x
  2. Step 2: Convert to fraction form
    11,431.85/15,740.90 = 10,007.57/x
  3. Step 3: Cross multiply
    11,431.85x = 15,740.90 × 10,007.57
  4. Step 4: Simplify right side
    11,431.85x = 157,528,158.61
  5. Step 5: Solve for x
    x = 157,528,158.61/11,431.85
  6. Step 6: Final answer
    x = 13,779.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.