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Finding the Fourth Proportional to 10,275.72, 14,180.49 and 5,560

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Solution

The fourth proportional to 10,275.72, 14,180.49 and 5,560 is: 7,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.72 : 14,180.49 = 5,560 : x
  2. Step 2: Convert to fraction form
    10,275.72/14,180.49 = 5,560/x
  3. Step 3: Cross multiply
    10,275.72x = 14,180.49 × 5,560
  4. Step 4: Simplify right side
    10,275.72x = 78,843,524.40
  5. Step 5: Solve for x
    x = 78,843,524.40/10,275.72
  6. Step 6: Final answer
    x = 7,672.80

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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.