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Finding the Fourth Proportional to 10,984.32, 15,154.14 and 6,266.10

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Solution

The fourth proportional to 10,984.32, 15,154.14 and 6,266.10 is: 8,644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.32 : 15,154.14 = 6,266.10 : x
  2. Step 2: Convert to fraction form
    10,984.32/15,154.14 = 6,266.10/x
  3. Step 3: Cross multiply
    10,984.32x = 15,154.14 × 6,266.10
  4. Step 4: Simplify right side
    10,984.32x = 94,957,356.65
  5. Step 5: Solve for x
    x = 94,957,356.65/10,984.32
  6. Step 6: Final answer
    x = 8,644.81

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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.