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Finding the Fourth Proportional to 11,397.69, 15,731.43 and 7,411.86

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Solution

The fourth proportional to 11,397.69, 15,731.43 and 7,411.86 is: 10,230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.69 : 15,731.43 = 7,411.86 : x
  2. Step 2: Convert to fraction form
    11,397.69/15,731.43 = 7,411.86/x
  3. Step 3: Cross multiply
    11,397.69x = 15,731.43 × 7,411.86
  4. Step 4: Simplify right side
    11,397.69x = 116,599,156.76
  5. Step 5: Solve for x
    x = 116,599,156.76/11,397.69
  6. Step 6: Final answer
    x = 10,230.07

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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.