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Finding the Fourth Proportional to 10,079.95, 13,909.92 and 5,830.36

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Solution

The fourth proportional to 10,079.95, 13,909.92 and 5,830.36 is: 8,045.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079.95 : 13,909.92 = 5,830.36 : x
  2. Step 2: Convert to fraction form
    10,079.95/13,909.92 = 5,830.36/x
  3. Step 3: Cross multiply
    10,079.95x = 13,909.92 × 5,830.36
  4. Step 4: Simplify right side
    10,079.95x = 81,099,841.17
  5. Step 5: Solve for x
    x = 81,099,841.17/10,079.95
  6. Step 6: Final answer
    x = 8,045.66

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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.