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Finding the Fourth Proportional to 10,019.93, 13,825.49 and 6,041.30

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Solution

The fourth proportional to 10,019.93, 13,825.49 and 6,041.30 is: 8,335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.93 : 13,825.49 = 6,041.30 : x
  2. Step 2: Convert to fraction form
    10,019.93/13,825.49 = 6,041.30/x
  3. Step 3: Cross multiply
    10,019.93x = 13,825.49 × 6,041.30
  4. Step 4: Simplify right side
    10,019.93x = 83,523,833.40
  5. Step 5: Solve for x
    x = 83,523,833.40/10,019.93
  6. Step 6: Final answer
    x = 8,335.77

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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.