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Finding the Fourth Proportional to 8,605.44, 12,916.80 and 6,678.72

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Solution

The fourth proportional to 8,605.44, 12,916.80 and 6,678.72 is: 10,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.44 : 12,916.80 = 6,678.72 : x
  2. Step 2: Convert to fraction form
    8,605.44/12,916.80 = 6,678.72/x
  3. Step 3: Cross multiply
    8,605.44x = 12,916.80 × 6,678.72
  4. Step 4: Simplify right side
    8,605.44x = 86,267,690.50
  5. Step 5: Solve for x
    x = 86,267,690.50/8,605.44
  6. Step 6: Final answer
    x = 10,024.79

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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.