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Finding the Fourth Proportional to 6,515.64, 8,986.14 and 5,334.66

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Solution

The fourth proportional to 6,515.64, 8,986.14 and 5,334.66 is: 7,357.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.64 : 8,986.14 = 5,334.66 : x
  2. Step 2: Convert to fraction form
    6,515.64/8,986.14 = 5,334.66/x
  3. Step 3: Cross multiply
    6,515.64x = 8,986.14 × 5,334.66
  4. Step 4: Simplify right side
    6,515.64x = 47,938,001.61
  5. Step 5: Solve for x
    x = 47,938,001.61/6,515.64
  6. Step 6: Final answer
    x = 7,357.37

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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.