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Finding the Fourth Proportional to 8,032.95, 12,044.28 and 3,864.66

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Solution

The fourth proportional to 8,032.95, 12,044.28 and 3,864.66 is: 5,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.95 : 12,044.28 = 3,864.66 : x
  2. Step 2: Convert to fraction form
    8,032.95/12,044.28 = 3,864.66/x
  3. Step 3: Cross multiply
    8,032.95x = 12,044.28 × 3,864.66
  4. Step 4: Simplify right side
    8,032.95x = 46,547,047.14
  5. Step 5: Solve for x
    x = 46,547,047.14/8,032.95
  6. Step 6: Final answer
    x = 5,794.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.