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Finding the Fourth Proportional to 8,378.88, 11,562.60 and 4,842

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Solution

The fourth proportional to 8,378.88, 11,562.60 and 4,842 is: 6,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.88 : 11,562.60 = 4,842 : x
  2. Step 2: Convert to fraction form
    8,378.88/11,562.60 = 4,842/x
  3. Step 3: Cross multiply
    8,378.88x = 11,562.60 × 4,842
  4. Step 4: Simplify right side
    8,378.88x = 55,986,109.20
  5. Step 5: Solve for x
    x = 55,986,109.20/8,378.88
  6. Step 6: Final answer
    x = 6,681.81

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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.