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Finding the Fourth Proportional to 10,030.91, 13,838.37 and 6,049.76

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Solution

The fourth proportional to 10,030.91, 13,838.37 and 6,049.76 is: 8,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.91 : 13,838.37 = 6,049.76 : x
  2. Step 2: Convert to fraction form
    10,030.91/13,838.37 = 6,049.76/x
  3. Step 3: Cross multiply
    10,030.91x = 13,838.37 × 6,049.76
  4. Step 4: Simplify right side
    10,030.91x = 83,718,817.29
  5. Step 5: Solve for x
    x = 83,718,817.29/10,030.91
  6. Step 6: Final answer
    x = 8,346.08

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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.