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Finding the Fourth Proportional to 8,806.86, 13,204.40 and 4,642.47

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Solution

The fourth proportional to 8,806.86, 13,204.40 and 4,642.47 is: 6,960.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,806.86 : 13,204.40 = 4,642.47 : x
  2. Step 2: Convert to fraction form
    8,806.86/13,204.40 = 4,642.47/x
  3. Step 3: Cross multiply
    8,806.86x = 13,204.40 × 4,642.47
  4. Step 4: Simplify right side
    8,806.86x = 61,301,007.66
  5. Step 5: Solve for x
    x = 61,301,007.66/8,806.86
  6. Step 6: Final answer
    x = 6,960.60

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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.