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Finding the Fourth Proportional to 8,534.19, 12,802.35 and 3,339.39

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Solution

The fourth proportional to 8,534.19, 12,802.35 and 3,339.39 is: 5,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.19 : 12,802.35 = 3,339.39 : x
  2. Step 2: Convert to fraction form
    8,534.19/12,802.35 = 3,339.39/x
  3. Step 3: Cross multiply
    8,534.19x = 12,802.35 × 3,339.39
  4. Step 4: Simplify right side
    8,534.19x = 42,752,039.57
  5. Step 5: Solve for x
    x = 42,752,039.57/8,534.19
  6. Step 6: Final answer
    x = 5,009.50

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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.