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Finding the Fourth Proportional to 10,055.65, 15,058.86 and 7,086.80

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Solution

The fourth proportional to 10,055.65, 15,058.86 and 7,086.80 is: 10,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.65 : 15,058.86 = 7,086.80 : x
  2. Step 2: Convert to fraction form
    10,055.65/15,058.86 = 7,086.80/x
  3. Step 3: Cross multiply
    10,055.65x = 15,058.86 × 7,086.80
  4. Step 4: Simplify right side
    10,055.65x = 106,719,129.05
  5. Step 5: Solve for x
    x = 106,719,129.05/10,055.65
  6. Step 6: Final answer
    x = 10,612.85

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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.