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Finding the Fourth Proportional to 10,158.03, 15,241.59 and 6,459.30

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Solution

The fourth proportional to 10,158.03, 15,241.59 and 6,459.30 is: 9,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.03 : 15,241.59 = 6,459.30 : x
  2. Step 2: Convert to fraction form
    10,158.03/15,241.59 = 6,459.30/x
  3. Step 3: Cross multiply
    10,158.03x = 15,241.59 × 6,459.30
  4. Step 4: Simplify right side
    10,158.03x = 98,450,002.29
  5. Step 5: Solve for x
    x = 98,450,002.29/10,158.03
  6. Step 6: Final answer
    x = 9,691.84

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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.