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Finding the Fourth Proportional to 8,645.94, 12,901.68 and 7,661.79

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Solution

The fourth proportional to 8,645.94, 12,901.68 and 7,661.79 is: 11,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.94 : 12,901.68 = 7,661.79 : x
  2. Step 2: Convert to fraction form
    8,645.94/12,901.68 = 7,661.79/x
  3. Step 3: Cross multiply
    8,645.94x = 12,901.68 × 7,661.79
  4. Step 4: Simplify right side
    8,645.94x = 98,849,962.81
  5. Step 5: Solve for x
    x = 98,849,962.81/8,645.94
  6. Step 6: Final answer
    x = 11,433.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.