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Finding the Fourth Proportional to 12,079.32, 16,665.91 and 7,830.46

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Solution

The fourth proportional to 12,079.32, 16,665.91 and 7,830.46 is: 10,803.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079.32 : 16,665.91 = 7,830.46 : x
  2. Step 2: Convert to fraction form
    12,079.32/16,665.91 = 7,830.46/x
  3. Step 3: Cross multiply
    12,079.32x = 16,665.91 × 7,830.46
  4. Step 4: Simplify right side
    12,079.32x = 130,501,741.62
  5. Step 5: Solve for x
    x = 130,501,741.62/12,079.32
  6. Step 6: Final answer
    x = 10,803.73

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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.