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Finding the Fourth Proportional to 7,911.68, 10,921.74 and 5,644.76

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Solution

The fourth proportional to 7,911.68, 10,921.74 and 5,644.76 is: 7,792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.68 : 10,921.74 = 5,644.76 : x
  2. Step 2: Convert to fraction form
    7,911.68/10,921.74 = 5,644.76/x
  3. Step 3: Cross multiply
    7,911.68x = 10,921.74 × 5,644.76
  4. Step 4: Simplify right side
    7,911.68x = 61,650,601.08
  5. Step 5: Solve for x
    x = 61,650,601.08/7,911.68
  6. Step 6: Final answer
    x = 7,792.35

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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.