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Finding the Fourth Proportional to 8,348.18, 12,509.06 and 6,780.58

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Solution

The fourth proportional to 8,348.18, 12,509.06 and 6,780.58 is: 10,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.18 : 12,509.06 = 6,780.58 : x
  2. Step 2: Convert to fraction form
    8,348.18/12,509.06 = 6,780.58/x
  3. Step 3: Cross multiply
    8,348.18x = 12,509.06 × 6,780.58
  4. Step 4: Simplify right side
    8,348.18x = 84,818,616.88
  5. Step 5: Solve for x
    x = 84,818,616.88/8,348.18
  6. Step 6: Final answer
    x = 10,160.14

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