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Finding the Fourth Proportional to 10,493.68, 14,476.72 and 6,299.52

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Solution

The fourth proportional to 10,493.68, 14,476.72 and 6,299.52 is: 8,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.68 : 14,476.72 = 6,299.52 : x
  2. Step 2: Convert to fraction form
    10,493.68/14,476.72 = 6,299.52/x
  3. Step 3: Cross multiply
    10,493.68x = 14,476.72 × 6,299.52
  4. Step 4: Simplify right side
    10,493.68x = 91,196,387.17
  5. Step 5: Solve for x
    x = 91,196,387.17/10,493.68
  6. Step 6: Final answer
    x = 8,690.60

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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.