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Finding the Fourth Proportional to 11,384.40, 15,708.74 and 6,348.68

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Solution

The fourth proportional to 11,384.40, 15,708.74 and 6,348.68 is: 8,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.40 : 15,708.74 = 6,348.68 : x
  2. Step 2: Convert to fraction form
    11,384.40/15,708.74 = 6,348.68/x
  3. Step 3: Cross multiply
    11,384.40x = 15,708.74 × 6,348.68
  4. Step 4: Simplify right side
    11,384.40x = 99,729,712.08
  5. Step 5: Solve for x
    x = 99,729,712.08/11,384.40
  6. Step 6: Final answer
    x = 8,760.21

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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.