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Finding the Fourth Proportional to 7,411.20, 10,227.60 and 4,428.40

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Solution

The fourth proportional to 7,411.20, 10,227.60 and 4,428.40 is: 6,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.20 : 10,227.60 = 4,428.40 : x
  2. Step 2: Convert to fraction form
    7,411.20/10,227.60 = 4,428.40/x
  3. Step 3: Cross multiply
    7,411.20x = 10,227.60 × 4,428.40
  4. Step 4: Simplify right side
    7,411.20x = 45,291,903.84
  5. Step 5: Solve for x
    x = 45,291,903.84/7,411.20
  6. Step 6: Final answer
    x = 6,111.28

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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.