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Finding the Fourth Proportional to 10,064.53, 15,065.44 and 9,008.15

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Solution

The fourth proportional to 10,064.53, 15,065.44 and 9,008.15 is: 13,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.53 : 15,065.44 = 9,008.15 : x
  2. Step 2: Convert to fraction form
    10,064.53/15,065.44 = 9,008.15/x
  3. Step 3: Cross multiply
    10,064.53x = 15,065.44 × 9,008.15
  4. Step 4: Simplify right side
    10,064.53x = 135,711,758.48
  5. Step 5: Solve for x
    x = 135,711,758.48/10,064.53
  6. Step 6: Final answer
    x = 13,484.17

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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.