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Finding the Fourth Proportional to 10,129.95, 13,985.85 and 6,358.29

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Solution

The fourth proportional to 10,129.95, 13,985.85 and 6,358.29 is: 8,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.95 : 13,985.85 = 6,358.29 : x
  2. Step 2: Convert to fraction form
    10,129.95/13,985.85 = 6,358.29/x
  3. Step 3: Cross multiply
    10,129.95x = 13,985.85 × 6,358.29
  4. Step 4: Simplify right side
    10,129.95x = 88,926,090.20
  5. Step 5: Solve for x
    x = 88,926,090.20/10,129.95
  6. Step 6: Final answer
    x = 8,778.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.