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Finding the Fourth Proportional to 10,275.78, 14,180.54 and 5,799.52

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Solution

The fourth proportional to 10,275.78, 14,180.54 and 5,799.52 is: 8,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.78 : 14,180.54 = 5,799.52 : x
  2. Step 2: Convert to fraction form
    10,275.78/14,180.54 = 5,799.52/x
  3. Step 3: Cross multiply
    10,275.78x = 14,180.54 × 5,799.52
  4. Step 4: Simplify right side
    10,275.78x = 82,240,325.34
  5. Step 5: Solve for x
    x = 82,240,325.34/10,275.78
  6. Step 6: Final answer
    x = 8,003.32

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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.