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Finding the Fourth Proportional to 7,256.82, 10,010.98 and 5,263

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Solution

The fourth proportional to 7,256.82, 10,010.98 and 5,263 is: 7,260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.82 : 10,010.98 = 5,263 : x
  2. Step 2: Convert to fraction form
    7,256.82/10,010.98 = 5,263/x
  3. Step 3: Cross multiply
    7,256.82x = 10,010.98 × 5,263
  4. Step 4: Simplify right side
    7,256.82x = 52,687,787.74
  5. Step 5: Solve for x
    x = 52,687,787.74/7,256.82
  6. Step 6: Final answer
    x = 7,260.45

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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.