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Finding the Fourth Proportional to 8,697.49, 12,002.29 and 5,160.63

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Solution

The fourth proportional to 8,697.49, 12,002.29 and 5,160.63 is: 7,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.49 : 12,002.29 = 5,160.63 : x
  2. Step 2: Convert to fraction form
    8,697.49/12,002.29 = 5,160.63/x
  3. Step 3: Cross multiply
    8,697.49x = 12,002.29 × 5,160.63
  4. Step 4: Simplify right side
    8,697.49x = 61,939,377.84
  5. Step 5: Solve for x
    x = 61,939,377.84/8,697.49
  6. Step 6: Final answer
    x = 7,121.52

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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.