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Finding the Fourth Proportional to 8,598.17, 11,851.77 and 6,778.23

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Solution

The fourth proportional to 8,598.17, 11,851.77 and 6,778.23 is: 9,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,598.17 : 11,851.77 = 6,778.23 : x
  2. Step 2: Convert to fraction form
    8,598.17/11,851.77 = 6,778.23/x
  3. Step 3: Cross multiply
    8,598.17x = 11,851.77 × 6,778.23
  4. Step 4: Simplify right side
    8,598.17x = 80,333,929.82
  5. Step 5: Solve for x
    x = 80,333,929.82/8,598.17
  6. Step 6: Final answer
    x = 9,343.14

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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.