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Finding the Fourth Proportional to 10,912.86, 15,055.80 and 7,138.19

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Solution

The fourth proportional to 10,912.86, 15,055.80 and 7,138.19 is: 9,848.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.86 : 15,055.80 = 7,138.19 : x
  2. Step 2: Convert to fraction form
    10,912.86/15,055.80 = 7,138.19/x
  3. Step 3: Cross multiply
    10,912.86x = 15,055.80 × 7,138.19
  4. Step 4: Simplify right side
    10,912.86x = 107,471,085.72
  5. Step 5: Solve for x
    x = 107,471,085.72/10,912.86
  6. Step 6: Final answer
    x = 9,848.11

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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.