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Finding the Fourth Proportional to 10,962.29, 15,129.36 and 7,188.63

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Solution

The fourth proportional to 10,962.29, 15,129.36 and 7,188.63 is: 9,921.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962.29 : 15,129.36 = 7,188.63 : x
  2. Step 2: Convert to fraction form
    10,962.29/15,129.36 = 7,188.63/x
  3. Step 3: Cross multiply
    10,962.29x = 15,129.36 × 7,188.63
  4. Step 4: Simplify right side
    10,962.29x = 108,759,371.18
  5. Step 5: Solve for x
    x = 108,759,371.18/10,962.29
  6. Step 6: Final answer
    x = 9,921.23

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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.