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Finding the Fourth Proportional to 7,386.64, 11,077.80 and 6,084.88

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Solution

The fourth proportional to 7,386.64, 11,077.80 and 6,084.88 is: 9,125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.64 : 11,077.80 = 6,084.88 : x
  2. Step 2: Convert to fraction form
    7,386.64/11,077.80 = 6,084.88/x
  3. Step 3: Cross multiply
    7,386.64x = 11,077.80 × 6,084.88
  4. Step 4: Simplify right side
    7,386.64x = 67,407,083.66
  5. Step 5: Solve for x
    x = 67,407,083.66/7,386.64
  6. Step 6: Final answer
    x = 9,125.54

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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.