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Finding the Fourth Proportional to 7,541.40, 10,409.54 and 4,398.20

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Solution

The fourth proportional to 7,541.40, 10,409.54 and 4,398.20 is: 6,070.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.40 : 10,409.54 = 4,398.20 : x
  2. Step 2: Convert to fraction form
    7,541.40/10,409.54 = 4,398.20/x
  3. Step 3: Cross multiply
    7,541.40x = 10,409.54 × 4,398.20
  4. Step 4: Simplify right side
    7,541.40x = 45,783,238.83
  5. Step 5: Solve for x
    x = 45,783,238.83/7,541.40
  6. Step 6: Final answer
    x = 6,070.92

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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.