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Finding the Fourth Proportional to 11,415.47, 15,761.18 and 7,443.50

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Solution

The fourth proportional to 11,415.47, 15,761.18 and 7,443.50 is: 10,277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.47 : 15,761.18 = 7,443.50 : x
  2. Step 2: Convert to fraction form
    11,415.47/15,761.18 = 7,443.50/x
  3. Step 3: Cross multiply
    11,415.47x = 15,761.18 × 7,443.50
  4. Step 4: Simplify right side
    11,415.47x = 117,318,283.13
  5. Step 5: Solve for x
    x = 117,318,283.13/11,415.47
  6. Step 6: Final answer
    x = 10,277.14

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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.