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Finding the Fourth Proportional to 10,253.16, 14,149.17 and 5,776.80

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Solution

The fourth proportional to 10,253.16, 14,149.17 and 5,776.80 is: 7,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.16 : 14,149.17 = 5,776.80 : x
  2. Step 2: Convert to fraction form
    10,253.16/14,149.17 = 5,776.80/x
  3. Step 3: Cross multiply
    10,253.16x = 14,149.17 × 5,776.80
  4. Step 4: Simplify right side
    10,253.16x = 81,736,925.26
  5. Step 5: Solve for x
    x = 81,736,925.26/10,253.16
  6. Step 6: Final answer
    x = 7,971.88

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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.