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Finding the Fourth Proportional to 7,747.46, 10,686.09 and 5,094.02

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Solution

The fourth proportional to 7,747.46, 10,686.09 and 5,094.02 is: 7,026.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.46 : 10,686.09 = 5,094.02 : x
  2. Step 2: Convert to fraction form
    7,747.46/10,686.09 = 5,094.02/x
  3. Step 3: Cross multiply
    7,747.46x = 10,686.09 × 5,094.02
  4. Step 4: Simplify right side
    7,747.46x = 54,435,156.18
  5. Step 5: Solve for x
    x = 54,435,156.18/7,747.46
  6. Step 6: Final answer
    x = 7,026.19

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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.