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Finding the Fourth Proportional to 10,071.72, 13,901.94 and 5,880.96

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Solution

The fourth proportional to 10,071.72, 13,901.94 and 5,880.96 is: 8,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.72 : 13,901.94 = 5,880.96 : x
  2. Step 2: Convert to fraction form
    10,071.72/13,901.94 = 5,880.96/x
  3. Step 3: Cross multiply
    10,071.72x = 13,901.94 × 5,880.96
  4. Step 4: Simplify right side
    10,071.72x = 81,756,753.06
  5. Step 5: Solve for x
    x = 81,756,753.06/10,071.72
  6. Step 6: Final answer
    x = 8,117.46

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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.