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Finding the Fourth Proportional to 8,678.32, 11,964.16 and 5,490.02

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Solution

The fourth proportional to 8,678.32, 11,964.16 and 5,490.02 is: 7,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.32 : 11,964.16 = 5,490.02 : x
  2. Step 2: Convert to fraction form
    8,678.32/11,964.16 = 5,490.02/x
  3. Step 3: Cross multiply
    8,678.32x = 11,964.16 × 5,490.02
  4. Step 4: Simplify right side
    8,678.32x = 65,683,477.68
  5. Step 5: Solve for x
    x = 65,683,477.68/8,678.32
  6. Step 6: Final answer
    x = 7,568.69

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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.