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Finding the Fourth Proportional to 7,702.48, 10,629.12 and 4,344.76

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Solution

The fourth proportional to 7,702.48, 10,629.12 and 4,344.76 is: 5,995.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.48 : 10,629.12 = 4,344.76 : x
  2. Step 2: Convert to fraction form
    7,702.48/10,629.12 = 4,344.76/x
  3. Step 3: Cross multiply
    7,702.48x = 10,629.12 × 4,344.76
  4. Step 4: Simplify right side
    7,702.48x = 46,180,975.41
  5. Step 5: Solve for x
    x = 46,180,975.41/7,702.48
  6. Step 6: Final answer
    x = 5,995.60

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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.