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Finding the Fourth Proportional to 10,377.64, 14,320.76 and 5,661.82

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Solution

The fourth proportional to 10,377.64, 14,320.76 and 5,661.82 is: 7,813.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.64 : 14,320.76 = 5,661.82 : x
  2. Step 2: Convert to fraction form
    10,377.64/14,320.76 = 5,661.82/x
  3. Step 3: Cross multiply
    10,377.64x = 14,320.76 × 5,661.82
  4. Step 4: Simplify right side
    10,377.64x = 81,081,565.38
  5. Step 5: Solve for x
    x = 81,081,565.38/10,377.64
  6. Step 6: Final answer
    x = 7,813.10

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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.