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Finding the Fourth Proportional to 10,283.76, 14,192.88 and 5,807.72

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Solution

The fourth proportional to 10,283.76, 14,192.88 and 5,807.72 is: 8,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.76 : 14,192.88 = 5,807.72 : x
  2. Step 2: Convert to fraction form
    10,283.76/14,192.88 = 5,807.72/x
  3. Step 3: Cross multiply
    10,283.76x = 14,192.88 × 5,807.72
  4. Step 4: Simplify right side
    10,283.76x = 82,428,273.03
  5. Step 5: Solve for x
    x = 82,428,273.03/10,283.76
  6. Step 6: Final answer
    x = 8,015.38

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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.