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Finding the Fourth Proportional to 8,534.30, 12,802.54 and 3,339.50

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Solution

The fourth proportional to 8,534.30, 12,802.54 and 3,339.50 is: 5,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.30 : 12,802.54 = 3,339.50 : x
  2. Step 2: Convert to fraction form
    8,534.30/12,802.54 = 3,339.50/x
  3. Step 3: Cross multiply
    8,534.30x = 12,802.54 × 3,339.50
  4. Step 4: Simplify right side
    8,534.30x = 42,754,105.99
  5. Step 5: Solve for x
    x = 42,754,105.99/8,534.30
  6. Step 6: Final answer
    x = 5,009.68

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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.