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Finding the Fourth Proportional to 10,214.51, 14,094.92 and 5,738.76

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Solution

The fourth proportional to 10,214.51, 14,094.92 and 5,738.76 is: 7,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.51 : 14,094.92 = 5,738.76 : x
  2. Step 2: Convert to fraction form
    10,214.51/14,094.92 = 5,738.76/x
  3. Step 3: Cross multiply
    10,214.51x = 14,094.92 × 5,738.76
  4. Step 4: Simplify right side
    10,214.51x = 80,887,363.10
  5. Step 5: Solve for x
    x = 80,887,363.10/10,214.51
  6. Step 6: Final answer
    x = 7,918.87

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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.