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Finding the Fourth Proportional to 10,584.36, 15,798.96 and 9,207.36

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Solution

The fourth proportional to 10,584.36, 15,798.96 and 9,207.36 is: 13,743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.36 : 15,798.96 = 9,207.36 : x
  2. Step 2: Convert to fraction form
    10,584.36/15,798.96 = 9,207.36/x
  3. Step 3: Cross multiply
    10,584.36x = 15,798.96 × 9,207.36
  4. Step 4: Simplify right side
    10,584.36x = 145,466,712.35
  5. Step 5: Solve for x
    x = 145,466,712.35/10,584.36
  6. Step 6: Final answer
    x = 13,743.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.