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Finding the Fourth Proportional to 10,036.96, 13,851.72 and 6,057.86

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Solution

The fourth proportional to 10,036.96, 13,851.72 and 6,057.86 is: 8,360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.96 : 13,851.72 = 6,057.86 : x
  2. Step 2: Convert to fraction form
    10,036.96/13,851.72 = 6,057.86/x
  3. Step 3: Cross multiply
    10,036.96x = 13,851.72 × 6,057.86
  4. Step 4: Simplify right side
    10,036.96x = 83,911,780.52
  5. Step 5: Solve for x
    x = 83,911,780.52/10,036.96
  6. Step 6: Final answer
    x = 8,360.28

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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.