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Finding the Fourth Proportional to 10,701.12, 14,768.52 and 5,986.92

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Solution

The fourth proportional to 10,701.12, 14,768.52 and 5,986.92 is: 8,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.12 : 14,768.52 = 5,986.92 : x
  2. Step 2: Convert to fraction form
    10,701.12/14,768.52 = 5,986.92/x
  3. Step 3: Cross multiply
    10,701.12x = 14,768.52 × 5,986.92
  4. Step 4: Simplify right side
    10,701.12x = 88,417,947.76
  5. Step 5: Solve for x
    x = 88,417,947.76/10,701.12
  6. Step 6: Final answer
    x = 8,262.49

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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.