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Finding the Fourth Proportional to 7,641.28, 10,548.48 and 5,404.96

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Solution

The fourth proportional to 7,641.28, 10,548.48 and 5,404.96 is: 7,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.28 : 10,548.48 = 5,404.96 : x
  2. Step 2: Convert to fraction form
    7,641.28/10,548.48 = 5,404.96/x
  3. Step 3: Cross multiply
    7,641.28x = 10,548.48 × 5,404.96
  4. Step 4: Simplify right side
    7,641.28x = 57,014,112.46
  5. Step 5: Solve for x
    x = 57,014,112.46/7,641.28
  6. Step 6: Final answer
    x = 7,461.33

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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.