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Finding the Fourth Proportional to 10,055.76, 15,086.88 and 7,131.66

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Solution

The fourth proportional to 10,055.76, 15,086.88 and 7,131.66 is: 10,699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.76 : 15,086.88 = 7,131.66 : x
  2. Step 2: Convert to fraction form
    10,055.76/15,086.88 = 7,131.66/x
  3. Step 3: Cross multiply
    10,055.76x = 15,086.88 × 7,131.66
  4. Step 4: Simplify right side
    10,055.76x = 107,594,498.62
  5. Step 5: Solve for x
    x = 107,594,498.62/10,055.76
  6. Step 6: Final answer
    x = 10,699.79

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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.