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Finding the Fourth Proportional to 10,215.54, 14,095.71 and 5,738.22

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Solution

The fourth proportional to 10,215.54, 14,095.71 and 5,738.22 is: 7,917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.54 : 14,095.71 = 5,738.22 : x
  2. Step 2: Convert to fraction form
    10,215.54/14,095.71 = 5,738.22/x
  3. Step 3: Cross multiply
    10,215.54x = 14,095.71 × 5,738.22
  4. Step 4: Simplify right side
    10,215.54x = 80,884,285.04
  5. Step 5: Solve for x
    x = 80,884,285.04/10,215.54
  6. Step 6: Final answer
    x = 7,917.77

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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.