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Finding the Fourth Proportional to 10,283.68, 15,434.16 and 8,244.64

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Solution

The fourth proportional to 10,283.68, 15,434.16 and 8,244.64 is: 12,373.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.68 : 15,434.16 = 8,244.64 : x
  2. Step 2: Convert to fraction form
    10,283.68/15,434.16 = 8,244.64/x
  3. Step 3: Cross multiply
    10,283.68x = 15,434.16 × 8,244.64
  4. Step 4: Simplify right side
    10,283.68x = 127,249,092.90
  5. Step 5: Solve for x
    x = 127,249,092.90/10,283.68
  6. Step 6: Final answer
    x = 12,373.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.