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Finding the Fourth Proportional to 7,557.40, 11,324.94 and 3,657.16

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Solution

The fourth proportional to 7,557.40, 11,324.94 and 3,657.16 is: 5,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,557.40 : 11,324.94 = 3,657.16 : x
  2. Step 2: Convert to fraction form
    7,557.40/11,324.94 = 3,657.16/x
  3. Step 3: Cross multiply
    7,557.40x = 11,324.94 × 3,657.16
  4. Step 4: Simplify right side
    7,557.40x = 41,417,117.57
  5. Step 5: Solve for x
    x = 41,417,117.57/7,557.40
  6. Step 6: Final answer
    x = 5,480.34

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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.