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Finding the Fourth Proportional to 7,657.78, 10,571.75 and 5,153.06

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Solution

The fourth proportional to 7,657.78, 10,571.75 and 5,153.06 is: 7,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.78 : 10,571.75 = 5,153.06 : x
  2. Step 2: Convert to fraction form
    7,657.78/10,571.75 = 5,153.06/x
  3. Step 3: Cross multiply
    7,657.78x = 10,571.75 × 5,153.06
  4. Step 4: Simplify right side
    7,657.78x = 54,476,862.06
  5. Step 5: Solve for x
    x = 54,476,862.06/7,657.78
  6. Step 6: Final answer
    x = 7,113.92

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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.