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Finding the Fourth Proportional to 10,959.96, 15,123.78 and 6,180.24

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Solution

The fourth proportional to 10,959.96, 15,123.78 and 6,180.24 is: 8,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.96 : 15,123.78 = 6,180.24 : x
  2. Step 2: Convert to fraction form
    10,959.96/15,123.78 = 6,180.24/x
  3. Step 3: Cross multiply
    10,959.96x = 15,123.78 × 6,180.24
  4. Step 4: Simplify right side
    10,959.96x = 93,468,590.11
  5. Step 5: Solve for x
    x = 93,468,590.11/10,959.96
  6. Step 6: Final answer
    x = 8,528.19

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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.