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Finding the Fourth Proportional to 10,204.62, 15,301.14 and 6,045.18

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Solution

The fourth proportional to 10,204.62, 15,301.14 and 6,045.18 is: 9,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.62 : 15,301.14 = 6,045.18 : x
  2. Step 2: Convert to fraction form
    10,204.62/15,301.14 = 6,045.18/x
  3. Step 3: Cross multiply
    10,204.62x = 15,301.14 × 6,045.18
  4. Step 4: Simplify right side
    10,204.62x = 92,498,145.51
  5. Step 5: Solve for x
    x = 92,498,145.51/10,204.62
  6. Step 6: Final answer
    x = 9,064.34

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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.