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Finding the Fourth Proportional to 8,314.66, 11,476.11 and 5,663.13

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Solution

The fourth proportional to 8,314.66, 11,476.11 and 5,663.13 is: 7,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.66 : 11,476.11 = 5,663.13 : x
  2. Step 2: Convert to fraction form
    8,314.66/11,476.11 = 5,663.13/x
  3. Step 3: Cross multiply
    8,314.66x = 11,476.11 × 5,663.13
  4. Step 4: Simplify right side
    8,314.66x = 64,990,702.82
  5. Step 5: Solve for x
    x = 64,990,702.82/8,314.66
  6. Step 6: Final answer
    x = 7,816.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.