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Finding the Fourth Proportional to 8,767, 12,098.94 and 4,788.47

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Solution

The fourth proportional to 8,767, 12,098.94 and 4,788.47 is: 6,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767 : 12,098.94 = 4,788.47 : x
  2. Step 2: Convert to fraction form
    8,767/12,098.94 = 4,788.47/x
  3. Step 3: Cross multiply
    8,767x = 12,098.94 × 4,788.47
  4. Step 4: Simplify right side
    8,767x = 57,935,411.22
  5. Step 5: Solve for x
    x = 57,935,411.22/8,767
  6. Step 6: Final answer
    x = 6,608.35

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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.