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Finding the Fourth Proportional to 10,153.72, 14,007.89 and 7,911.71

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Solution

The fourth proportional to 10,153.72, 14,007.89 and 7,911.71 is: 10,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.72 : 14,007.89 = 7,911.71 : x
  2. Step 2: Convert to fraction form
    10,153.72/14,007.89 = 7,911.71/x
  3. Step 3: Cross multiply
    10,153.72x = 14,007.89 × 7,911.71
  4. Step 4: Simplify right side
    10,153.72x = 110,826,363.39
  5. Step 5: Solve for x
    x = 110,826,363.39/10,153.72
  6. Step 6: Final answer
    x = 10,914.85

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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.