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Finding the Fourth Proportional to 8,981.41, 12,394.37 and 4,948.10

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Solution

The fourth proportional to 8,981.41, 12,394.37 and 4,948.10 is: 6,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,981.41 : 12,394.37 = 4,948.10 : x
  2. Step 2: Convert to fraction form
    8,981.41/12,394.37 = 4,948.10/x
  3. Step 3: Cross multiply
    8,981.41x = 12,394.37 × 4,948.10
  4. Step 4: Simplify right side
    8,981.41x = 61,328,568.67
  5. Step 5: Solve for x
    x = 61,328,568.67/8,981.41
  6. Step 6: Final answer
    x = 6,828.39

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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.