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Finding the Fourth Proportional to 10,411.97, 15,621.80 and 4,867.11

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Solution

The fourth proportional to 10,411.97, 15,621.80 and 4,867.11 is: 7,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.97 : 15,621.80 = 4,867.11 : x
  2. Step 2: Convert to fraction form
    10,411.97/15,621.80 = 4,867.11/x
  3. Step 3: Cross multiply
    10,411.97x = 15,621.80 × 4,867.11
  4. Step 4: Simplify right side
    10,411.97x = 76,032,994.66
  5. Step 5: Solve for x
    x = 76,032,994.66/10,411.97
  6. Step 6: Final answer
    x = 7,302.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.