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Finding the Fourth Proportional to 10,602.24, 15,902.55 and 4,029.90

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Solution

The fourth proportional to 10,602.24, 15,902.55 and 4,029.90 is: 6,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.24 : 15,902.55 = 4,029.90 : x
  2. Step 2: Convert to fraction form
    10,602.24/15,902.55 = 4,029.90/x
  3. Step 3: Cross multiply
    10,602.24x = 15,902.55 × 4,029.90
  4. Step 4: Simplify right side
    10,602.24x = 64,085,686.25
  5. Step 5: Solve for x
    x = 64,085,686.25/10,602.24
  6. Step 6: Final answer
    x = 6,044.54

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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.