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Finding the Fourth Proportional to 10,077.88, 15,121.76 and 4,535.14

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Solution

The fourth proportional to 10,077.88, 15,121.76 and 4,535.14 is: 6,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.88 : 15,121.76 = 4,535.14 : x
  2. Step 2: Convert to fraction form
    10,077.88/15,121.76 = 4,535.14/x
  3. Step 3: Cross multiply
    10,077.88x = 15,121.76 × 4,535.14
  4. Step 4: Simplify right side
    10,077.88x = 68,579,298.65
  5. Step 5: Solve for x
    x = 68,579,298.65/10,077.88
  6. Step 6: Final answer
    x = 6,804.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.