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Finding the Fourth Proportional to 8,894.31, 12,275.73 and 5,309.52

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Solution

The fourth proportional to 8,894.31, 12,275.73 and 5,309.52 is: 7,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.31 : 12,275.73 = 5,309.52 : x
  2. Step 2: Convert to fraction form
    8,894.31/12,275.73 = 5,309.52/x
  3. Step 3: Cross multiply
    8,894.31x = 12,275.73 × 5,309.52
  4. Step 4: Simplify right side
    8,894.31x = 65,178,233.95
  5. Step 5: Solve for x
    x = 65,178,233.95/8,894.31
  6. Step 6: Final answer
    x = 7,328.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.