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Finding the Fourth Proportional to 10,476.52, 14,452.65 and 6,496.18

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Solution

The fourth proportional to 10,476.52, 14,452.65 and 6,496.18 is: 8,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.52 : 14,452.65 = 6,496.18 : x
  2. Step 2: Convert to fraction form
    10,476.52/14,452.65 = 6,496.18/x
  3. Step 3: Cross multiply
    10,476.52x = 14,452.65 × 6,496.18
  4. Step 4: Simplify right side
    10,476.52x = 93,887,015.88
  5. Step 5: Solve for x
    x = 93,887,015.88/10,476.52
  6. Step 6: Final answer
    x = 8,961.66

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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.