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Finding the Fourth Proportional to 10,497.96, 14,487.84 and 5,782.24

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Solution

The fourth proportional to 10,497.96, 14,487.84 and 5,782.24 is: 7,979.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.96 : 14,487.84 = 5,782.24 : x
  2. Step 2: Convert to fraction form
    10,497.96/14,487.84 = 5,782.24/x
  3. Step 3: Cross multiply
    10,497.96x = 14,487.84 × 5,782.24
  4. Step 4: Simplify right side
    10,497.96x = 83,772,167.96
  5. Step 5: Solve for x
    x = 83,772,167.96/10,497.96
  6. Step 6: Final answer
    x = 7,979.85

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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.