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Finding the Fourth Proportional to 10,275.80, 14,180.63 and 5,560.09

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Solution

The fourth proportional to 10,275.80, 14,180.63 and 5,560.09 is: 7,672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.80 : 14,180.63 = 5,560.09 : x
  2. Step 2: Convert to fraction form
    10,275.80/14,180.63 = 5,560.09/x
  3. Step 3: Cross multiply
    10,275.80x = 14,180.63 × 5,560.09
  4. Step 4: Simplify right side
    10,275.80x = 78,845,515.80
  5. Step 5: Solve for x
    x = 78,845,515.80/10,275.80
  6. Step 6: Final answer
    x = 7,672.93

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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.