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Finding the Fourth Proportional to 11,384.34, 15,710.45 and 6,348.87

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Solution

The fourth proportional to 11,384.34, 15,710.45 and 6,348.87 is: 8,761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.34 : 15,710.45 = 6,348.87 : x
  2. Step 2: Convert to fraction form
    11,384.34/15,710.45 = 6,348.87/x
  3. Step 3: Cross multiply
    11,384.34x = 15,710.45 × 6,348.87
  4. Step 4: Simplify right side
    11,384.34x = 99,743,604.69
  5. Step 5: Solve for x
    x = 99,743,604.69/11,384.34
  6. Step 6: Final answer
    x = 8,761.47

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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.