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Finding the Fourth Proportional to 8,719.65, 12,032.57 and 4,891.07

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Solution

The fourth proportional to 8,719.65, 12,032.57 and 4,891.07 is: 6,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,719.65 : 12,032.57 = 4,891.07 : x
  2. Step 2: Convert to fraction form
    8,719.65/12,032.57 = 4,891.07/x
  3. Step 3: Cross multiply
    8,719.65x = 12,032.57 × 4,891.07
  4. Step 4: Simplify right side
    8,719.65x = 58,852,184.46
  5. Step 5: Solve for x
    x = 58,852,184.46/8,719.65
  6. Step 6: Final answer
    x = 6,749.38

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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.