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Finding the Fourth Proportional to 11,402.17, 15,745.86 and 10,780.93

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Solution

The fourth proportional to 11,402.17, 15,745.86 and 10,780.93 is: 14,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.17 : 15,745.86 = 10,780.93 : x
  2. Step 2: Convert to fraction form
    11,402.17/15,745.86 = 10,780.93/x
  3. Step 3: Cross multiply
    11,402.17x = 15,745.86 × 10,780.93
  4. Step 4: Simplify right side
    11,402.17x = 169,755,034.13
  5. Step 5: Solve for x
    x = 169,755,034.13/11,402.17
  6. Step 6: Final answer
    x = 14,887.96

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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.