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Finding the Fourth Proportional to 8,742.66, 12,064.95 and 4,763.79

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Solution

The fourth proportional to 8,742.66, 12,064.95 and 4,763.79 is: 6,574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.66 : 12,064.95 = 4,763.79 : x
  2. Step 2: Convert to fraction form
    8,742.66/12,064.95 = 4,763.79/x
  3. Step 3: Cross multiply
    8,742.66x = 12,064.95 × 4,763.79
  4. Step 4: Simplify right side
    8,742.66x = 57,474,888.16
  5. Step 5: Solve for x
    x = 57,474,888.16/8,742.66
  6. Step 6: Final answer
    x = 6,574.07

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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.