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Finding the Fourth Proportional to 7,677.68, 11,460.46 and 6,589.04

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Solution

The fourth proportional to 7,677.68, 11,460.46 and 6,589.04 is: 9,835.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.68 : 11,460.46 = 6,589.04 : x
  2. Step 2: Convert to fraction form
    7,677.68/11,460.46 = 6,589.04/x
  3. Step 3: Cross multiply
    7,677.68x = 11,460.46 × 6,589.04
  4. Step 4: Simplify right side
    7,677.68x = 75,513,429.36
  5. Step 5: Solve for x
    x = 75,513,429.36/7,677.68
  6. Step 6: Final answer
    x = 9,835.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.