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Finding the Fourth Proportional to 12,080.34, 16,657.38 and 7,598.61

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Solution

The fourth proportional to 12,080.34, 16,657.38 and 7,598.61 is: 10,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,080.34 : 16,657.38 = 7,598.61 : x
  2. Step 2: Convert to fraction form
    12,080.34/16,657.38 = 7,598.61/x
  3. Step 3: Cross multiply
    12,080.34x = 16,657.38 × 7,598.61
  4. Step 4: Simplify right side
    12,080.34x = 126,572,934.24
  5. Step 5: Solve for x
    x = 126,572,934.24/12,080.34
  6. Step 6: Final answer
    x = 10,477.60

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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.