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Finding the Fourth Proportional to 7,153.65, 9,865.17 and 5,475.11

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Solution

The fourth proportional to 7,153.65, 9,865.17 and 5,475.11 is: 7,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.65 : 9,865.17 = 5,475.11 : x
  2. Step 2: Convert to fraction form
    7,153.65/9,865.17 = 5,475.11/x
  3. Step 3: Cross multiply
    7,153.65x = 9,865.17 × 5,475.11
  4. Step 4: Simplify right side
    7,153.65x = 54,012,841.59
  5. Step 5: Solve for x
    x = 54,012,841.59/7,153.65
  6. Step 6: Final answer
    x = 7,550.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.