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Finding the Fourth Proportional to 8,920.86, 12,310.78 and 5,384.08

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Solution

The fourth proportional to 8,920.86, 12,310.78 and 5,384.08 is: 7,430.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.86 : 12,310.78 = 5,384.08 : x
  2. Step 2: Convert to fraction form
    8,920.86/12,310.78 = 5,384.08/x
  3. Step 3: Cross multiply
    8,920.86x = 12,310.78 × 5,384.08
  4. Step 4: Simplify right side
    8,920.86x = 66,282,224.38
  5. Step 5: Solve for x
    x = 66,282,224.38/8,920.86
  6. Step 6: Final answer
    x = 7,430.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.