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Finding the Fourth Proportional to 10,585.40, 14,611.08 and 6,112.08

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Solution

The fourth proportional to 10,585.40, 14,611.08 and 6,112.08 is: 8,436.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.40 : 14,611.08 = 6,112.08 : x
  2. Step 2: Convert to fraction form
    10,585.40/14,611.08 = 6,112.08/x
  3. Step 3: Cross multiply
    10,585.40x = 14,611.08 × 6,112.08
  4. Step 4: Simplify right side
    10,585.40x = 89,304,089.85
  5. Step 5: Solve for x
    x = 89,304,089.85/10,585.40
  6. Step 6: Final answer
    x = 8,436.53

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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.