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Finding the Fourth Proportional to 7,567.43, 10,442.80 and 4,210.15

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Solution

The fourth proportional to 7,567.43, 10,442.80 and 4,210.15 is: 5,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.43 : 10,442.80 = 4,210.15 : x
  2. Step 2: Convert to fraction form
    7,567.43/10,442.80 = 4,210.15/x
  3. Step 3: Cross multiply
    7,567.43x = 10,442.80 × 4,210.15
  4. Step 4: Simplify right side
    7,567.43x = 43,965,717.79
  5. Step 5: Solve for x
    x = 43,965,717.79/7,567.43
  6. Step 6: Final answer
    x = 5,809.86

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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.