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Finding the Fourth Proportional to 11,463.17, 15,813.35 and 7,486.61

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Solution

The fourth proportional to 11,463.17, 15,813.35 and 7,486.61 is: 10,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.17 : 15,813.35 = 7,486.61 : x
  2. Step 2: Convert to fraction form
    11,463.17/15,813.35 = 7,486.61/x
  3. Step 3: Cross multiply
    11,463.17x = 15,813.35 × 7,486.61
  4. Step 4: Simplify right side
    11,463.17x = 118,388,384.24
  5. Step 5: Solve for x
    x = 118,388,384.24/11,463.17
  6. Step 6: Final answer
    x = 10,327.72

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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.