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Finding the Fourth Proportional to 7,261.65, 10,877.88 and 6,146.28

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Solution

The fourth proportional to 7,261.65, 10,877.88 and 6,146.28 is: 9,207.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.65 : 10,877.88 = 6,146.28 : x
  2. Step 2: Convert to fraction form
    7,261.65/10,877.88 = 6,146.28/x
  3. Step 3: Cross multiply
    7,261.65x = 10,877.88 × 6,146.28
  4. Step 4: Simplify right side
    7,261.65x = 66,858,496.29
  5. Step 5: Solve for x
    x = 66,858,496.29/7,261.65
  6. Step 6: Final answer
    x = 9,207.07

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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.