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Finding the Fourth Proportional to 8,463.08, 11,678.10 and 4,686.32

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Solution

The fourth proportional to 8,463.08, 11,678.10 and 4,686.32 is: 6,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.08 : 11,678.10 = 4,686.32 : x
  2. Step 2: Convert to fraction form
    8,463.08/11,678.10 = 4,686.32/x
  3. Step 3: Cross multiply
    8,463.08x = 11,678.10 × 4,686.32
  4. Step 4: Simplify right side
    8,463.08x = 54,727,313.59
  5. Step 5: Solve for x
    x = 54,727,313.59/8,463.08
  6. Step 6: Final answer
    x = 6,466.60

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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.