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Finding the Fourth Proportional to 7,411.79, 10,228.28 and 4,267.98

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Solution

The fourth proportional to 7,411.79, 10,228.28 and 4,267.98 is: 5,889.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.79 : 10,228.28 = 4,267.98 : x
  2. Step 2: Convert to fraction form
    7,411.79/10,228.28 = 4,267.98/x
  3. Step 3: Cross multiply
    7,411.79x = 10,228.28 × 4,267.98
  4. Step 4: Simplify right side
    7,411.79x = 43,654,073.13
  5. Step 5: Solve for x
    x = 43,654,073.13/7,411.79
  6. Step 6: Final answer
    x = 5,889.81

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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.