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Finding the Fourth Proportional to 10,275.54, 14,180.31 and 5,559.81

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Solution

The fourth proportional to 10,275.54, 14,180.31 and 5,559.81 is: 7,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.54 : 14,180.31 = 5,559.81 : x
  2. Step 2: Convert to fraction form
    10,275.54/14,180.31 = 5,559.81/x
  3. Step 3: Cross multiply
    10,275.54x = 14,180.31 × 5,559.81
  4. Step 4: Simplify right side
    10,275.54x = 78,839,829.34
  5. Step 5: Solve for x
    x = 78,839,829.34/10,275.54
  6. Step 6: Final answer
    x = 7,672.57

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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.