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Finding the Fourth Proportional to 8,370.75, 11,547.28 and 4,965.78

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Solution

The fourth proportional to 8,370.75, 11,547.28 and 4,965.78 is: 6,850.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.75 : 11,547.28 = 4,965.78 : x
  2. Step 2: Convert to fraction form
    8,370.75/11,547.28 = 4,965.78/x
  3. Step 3: Cross multiply
    8,370.75x = 11,547.28 × 4,965.78
  4. Step 4: Simplify right side
    8,370.75x = 57,341,252.08
  5. Step 5: Solve for x
    x = 57,341,252.08/8,370.75
  6. Step 6: Final answer
    x = 6,850.19

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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.