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Finding the Fourth Proportional to 11,102.49, 15,305.63 and 7,561.17

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Solution

The fourth proportional to 11,102.49, 15,305.63 and 7,561.17 is: 10,423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.49 : 15,305.63 = 7,561.17 : x
  2. Step 2: Convert to fraction form
    11,102.49/15,305.63 = 7,561.17/x
  3. Step 3: Cross multiply
    11,102.49x = 15,305.63 × 7,561.17
  4. Step 4: Simplify right side
    11,102.49x = 115,728,432.58
  5. Step 5: Solve for x
    x = 115,728,432.58/11,102.49
  6. Step 6: Final answer
    x = 10,423.65

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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.