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Finding the Fourth Proportional to 7,411.66, 10,228.98 and 4,267.78

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Solution

The fourth proportional to 7,411.66, 10,228.98 and 4,267.78 is: 5,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.66 : 10,228.98 = 4,267.78 : x
  2. Step 2: Convert to fraction form
    7,411.66/10,228.98 = 4,267.78/x
  3. Step 3: Cross multiply
    7,411.66x = 10,228.98 × 4,267.78
  4. Step 4: Simplify right side
    7,411.66x = 43,655,036.26
  5. Step 5: Solve for x
    x = 43,655,036.26/7,411.66
  6. Step 6: Final answer
    x = 5,890.05

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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.