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Finding the Fourth Proportional to 10,402.53, 15,584.04 and 6,176.87

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Solution

The fourth proportional to 10,402.53, 15,584.04 and 6,176.87 is: 9,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.53 : 15,584.04 = 6,176.87 : x
  2. Step 2: Convert to fraction form
    10,402.53/15,584.04 = 6,176.87/x
  3. Step 3: Cross multiply
    10,402.53x = 15,584.04 × 6,176.87
  4. Step 4: Simplify right side
    10,402.53x = 96,260,511.23
  5. Step 5: Solve for x
    x = 96,260,511.23/10,402.53
  6. Step 6: Final answer
    x = 9,253.57

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Why These Related Problems?

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