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Finding the Fourth Proportional to 11,397.85, 15,716.64 and 7,411.57

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Solution

The fourth proportional to 11,397.85, 15,716.64 and 7,411.57 is: 10,219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.85 : 15,716.64 = 7,411.57 : x
  2. Step 2: Convert to fraction form
    11,397.85/15,716.64 = 7,411.57/x
  3. Step 3: Cross multiply
    11,397.85x = 15,716.64 × 7,411.57
  4. Step 4: Simplify right side
    11,397.85x = 116,484,977.52
  5. Step 5: Solve for x
    x = 116,484,977.52/11,397.85
  6. Step 6: Final answer
    x = 10,219.91

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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.