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Finding the Fourth Proportional to 10,459.52, 15,675.43 and 4,902.91

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Solution

The fourth proportional to 10,459.52, 15,675.43 and 4,902.91 is: 7,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.52 : 15,675.43 = 4,902.91 : x
  2. Step 2: Convert to fraction form
    10,459.52/15,675.43 = 4,902.91/x
  3. Step 3: Cross multiply
    10,459.52x = 15,675.43 × 4,902.91
  4. Step 4: Simplify right side
    10,459.52x = 76,855,222.50
  5. Step 5: Solve for x
    x = 76,855,222.50/10,459.52
  6. Step 6: Final answer
    x = 7,347.87

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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.