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Finding the Fourth Proportional to 8,339.10, 12,498.93 and 4,869.06

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Solution

The fourth proportional to 8,339.10, 12,498.93 and 4,869.06 is: 7,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.10 : 12,498.93 = 4,869.06 : x
  2. Step 2: Convert to fraction form
    8,339.10/12,498.93 = 4,869.06/x
  3. Step 3: Cross multiply
    8,339.10x = 12,498.93 × 4,869.06
  4. Step 4: Simplify right side
    8,339.10x = 60,858,040.11
  5. Step 5: Solve for x
    x = 60,858,040.11/8,339.10
  6. Step 6: Final answer
    x = 7,297.91

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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.