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Finding the Fourth Proportional to 10,572.50, 15,858.88 and 5,026.38

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Solution

The fourth proportional to 10,572.50, 15,858.88 and 5,026.38 is: 7,539.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.50 : 15,858.88 = 5,026.38 : x
  2. Step 2: Convert to fraction form
    10,572.50/15,858.88 = 5,026.38/x
  3. Step 3: Cross multiply
    10,572.50x = 15,858.88 × 5,026.38
  4. Step 4: Simplify right side
    10,572.50x = 79,712,757.25
  5. Step 5: Solve for x
    x = 79,712,757.25/10,572.50
  6. Step 6: Final answer
    x = 7,539.63

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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.