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Finding the Fourth Proportional to 10,697.16, 14,759.59 and 6,218.22

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Solution

The fourth proportional to 10,697.16, 14,759.59 and 6,218.22 is: 8,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.16 : 14,759.59 = 6,218.22 : x
  2. Step 2: Convert to fraction form
    10,697.16/14,759.59 = 6,218.22/x
  3. Step 3: Cross multiply
    10,697.16x = 14,759.59 × 6,218.22
  4. Step 4: Simplify right side
    10,697.16x = 91,778,363.66
  5. Step 5: Solve for x
    x = 91,778,363.66/10,697.16
  6. Step 6: Final answer
    x = 8,579.69

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