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Finding the Fourth Proportional to 7,638.46, 10,542.98 and 4,656.80

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Solution

The fourth proportional to 7,638.46, 10,542.98 and 4,656.80 is: 6,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.46 : 10,542.98 = 4,656.80 : x
  2. Step 2: Convert to fraction form
    7,638.46/10,542.98 = 4,656.80/x
  3. Step 3: Cross multiply
    7,638.46x = 10,542.98 × 4,656.80
  4. Step 4: Simplify right side
    7,638.46x = 49,096,549.26
  5. Step 5: Solve for x
    x = 49,096,549.26/7,638.46
  6. Step 6: Final answer
    x = 6,427.55

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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.