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Finding the Fourth Proportional to 10,376.83, 14,320.00 and 5,661.11

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Solution

The fourth proportional to 10,376.83, 14,320.00 and 5,661.11 is: 7,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.83 : 14,320.00 = 5,661.11 : x
  2. Step 2: Convert to fraction form
    10,376.83/14,320.00 = 5,661.11/x
  3. Step 3: Cross multiply
    10,376.83x = 14,320.00 × 5,661.11
  4. Step 4: Simplify right side
    10,376.83x = 81,067,084.38
  5. Step 5: Solve for x
    x = 81,067,084.38/10,376.83
  6. Step 6: Final answer
    x = 7,812.32

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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.