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Finding the Fourth Proportional to 10,158.54, 15,242.34 and 6,459.80

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Solution

The fourth proportional to 10,158.54, 15,242.34 and 6,459.80 is: 9,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.54 : 15,242.34 = 6,459.80 : x
  2. Step 2: Convert to fraction form
    10,158.54/15,242.34 = 6,459.80/x
  3. Step 3: Cross multiply
    10,158.54x = 15,242.34 × 6,459.80
  4. Step 4: Simplify right side
    10,158.54x = 98,462,467.93
  5. Step 5: Solve for x
    x = 98,462,467.93/10,158.54
  6. Step 6: Final answer
    x = 9,692.58

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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.