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Finding the Fourth Proportional to 11,378.34, 15,691.68 and 7,798.50

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Solution

The fourth proportional to 11,378.34, 15,691.68 and 7,798.50 is: 10,754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.34 : 15,691.68 = 7,798.50 : x
  2. Step 2: Convert to fraction form
    11,378.34/15,691.68 = 7,798.50/x
  3. Step 3: Cross multiply
    11,378.34x = 15,691.68 × 7,798.50
  4. Step 4: Simplify right side
    11,378.34x = 122,371,566.48
  5. Step 5: Solve for x
    x = 122,371,566.48/11,378.34
  6. Step 6: Final answer
    x = 10,754.78

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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.