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Finding the Fourth Proportional to 10,344.53, 15,489.25 and 7,064.03

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Solution

The fourth proportional to 10,344.53, 15,489.25 and 7,064.03 is: 10,577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.53 : 15,489.25 = 7,064.03 : x
  2. Step 2: Convert to fraction form
    10,344.53/15,489.25 = 7,064.03/x
  3. Step 3: Cross multiply
    10,344.53x = 15,489.25 × 7,064.03
  4. Step 4: Simplify right side
    10,344.53x = 109,416,526.68
  5. Step 5: Solve for x
    x = 109,416,526.68/10,344.53
  6. Step 6: Final answer
    x = 10,577.24

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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.