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Finding the Fourth Proportional to 7,686.86, 10,585.52 and 6,678.10

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Solution

The fourth proportional to 7,686.86, 10,585.52 and 6,678.10 is: 9,196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.86 : 10,585.52 = 6,678.10 : x
  2. Step 2: Convert to fraction form
    7,686.86/10,585.52 = 6,678.10/x
  3. Step 3: Cross multiply
    7,686.86x = 10,585.52 × 6,678.10
  4. Step 4: Simplify right side
    7,686.86x = 70,691,161.11
  5. Step 5: Solve for x
    x = 70,691,161.11/7,686.86
  6. Step 6: Final answer
    x = 9,196.37

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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.