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Finding the Fourth Proportional to 10,966.86, 15,132.06 and 6,250.14

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Solution

The fourth proportional to 10,966.86, 15,132.06 and 6,250.14 is: 8,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.86 : 15,132.06 = 6,250.14 : x
  2. Step 2: Convert to fraction form
    10,966.86/15,132.06 = 6,250.14/x
  3. Step 3: Cross multiply
    10,966.86x = 15,132.06 × 6,250.14
  4. Step 4: Simplify right side
    10,966.86x = 94,577,493.49
  5. Step 5: Solve for x
    x = 94,577,493.49/10,966.86
  6. Step 6: Final answer
    x = 8,623.94

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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.