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Finding the Fourth Proportional to 8,478.06, 11,699.86 and 4,701.39

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Solution

The fourth proportional to 8,478.06, 11,699.86 and 4,701.39 is: 6,487.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.06 : 11,699.86 = 4,701.39 : x
  2. Step 2: Convert to fraction form
    8,478.06/11,699.86 = 4,701.39/x
  3. Step 3: Cross multiply
    8,478.06x = 11,699.86 × 4,701.39
  4. Step 4: Simplify right side
    8,478.06x = 55,005,566.81
  5. Step 5: Solve for x
    x = 55,005,566.81/8,478.06
  6. Step 6: Final answer
    x = 6,487.99

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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.