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Finding the Fourth Proportional to 7,875.33, 10,867.92 and 4,290.22

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Solution

The fourth proportional to 7,875.33, 10,867.92 and 4,290.22 is: 5,920.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.33 : 10,867.92 = 4,290.22 : x
  2. Step 2: Convert to fraction form
    7,875.33/10,867.92 = 4,290.22/x
  3. Step 3: Cross multiply
    7,875.33x = 10,867.92 × 4,290.22
  4. Step 4: Simplify right side
    7,875.33x = 46,625,728.24
  5. Step 5: Solve for x
    x = 46,625,728.24/7,875.33
  6. Step 6: Final answer
    x = 5,920.48

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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.