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Finding the Fourth Proportional to 7,104.16, 10,648.48 and 3,641.60

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Solution

The fourth proportional to 7,104.16, 10,648.48 and 3,641.60 is: 5,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.16 : 10,648.48 = 3,641.60 : x
  2. Step 2: Convert to fraction form
    7,104.16/10,648.48 = 3,641.60/x
  3. Step 3: Cross multiply
    7,104.16x = 10,648.48 × 3,641.60
  4. Step 4: Simplify right side
    7,104.16x = 38,777,504.77
  5. Step 5: Solve for x
    x = 38,777,504.77/7,104.16
  6. Step 6: Final answer
    x = 5,458.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.