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Finding the Fourth Proportional to 10,608.13, 14,641.85 and 6,134.48

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Solution

The fourth proportional to 10,608.13, 14,641.85 and 6,134.48 is: 8,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.13 : 14,641.85 = 6,134.48 : x
  2. Step 2: Convert to fraction form
    10,608.13/14,641.85 = 6,134.48/x
  3. Step 3: Cross multiply
    10,608.13x = 14,641.85 × 6,134.48
  4. Step 4: Simplify right side
    10,608.13x = 89,820,032.11
  5. Step 5: Solve for x
    x = 89,820,032.11/10,608.13
  6. Step 6: Final answer
    x = 8,467.10

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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.