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Finding the Fourth Proportional to 10,302.03, 15,414.75 and 6,144.30

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Solution

The fourth proportional to 10,302.03, 15,414.75 and 6,144.30 is: 9,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.03 : 15,414.75 = 6,144.30 : x
  2. Step 2: Convert to fraction form
    10,302.03/15,414.75 = 6,144.30/x
  3. Step 3: Cross multiply
    10,302.03x = 15,414.75 × 6,144.30
  4. Step 4: Simplify right side
    10,302.03x = 94,712,848.43
  5. Step 5: Solve for x
    x = 94,712,848.43/10,302.03
  6. Step 6: Final answer
    x = 9,193.61

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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.