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Finding the Fourth Proportional to 10,291.75, 15,458.29 and 6,139.86

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Solution

The fourth proportional to 10,291.75, 15,458.29 and 6,139.86 is: 9,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.75 : 15,458.29 = 6,139.86 : x
  2. Step 2: Convert to fraction form
    10,291.75/15,458.29 = 6,139.86/x
  3. Step 3: Cross multiply
    10,291.75x = 15,458.29 × 6,139.86
  4. Step 4: Simplify right side
    10,291.75x = 94,911,663.12
  5. Step 5: Solve for x
    x = 94,911,663.12/10,291.75
  6. Step 6: Final answer
    x = 9,222.11

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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.