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Finding the Fourth Proportional to 7,541.90, 10,409.07 and 4,398.09

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Solution

The fourth proportional to 7,541.90, 10,409.07 and 4,398.09 is: 6,070.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.90 : 10,409.07 = 4,398.09 : x
  2. Step 2: Convert to fraction form
    7,541.90/10,409.07 = 4,398.09/x
  3. Step 3: Cross multiply
    7,541.90x = 10,409.07 × 4,398.09
  4. Step 4: Simplify right side
    7,541.90x = 45,780,026.68
  5. Step 5: Solve for x
    x = 45,780,026.68/7,541.90
  6. Step 6: Final answer
    x = 6,070.09

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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.