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Finding the Fourth Proportional to 7,884.96, 10,875.09 and 5,052.60

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Solution

The fourth proportional to 7,884.96, 10,875.09 and 5,052.60 is: 6,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.96 : 10,875.09 = 5,052.60 : x
  2. Step 2: Convert to fraction form
    7,884.96/10,875.09 = 5,052.60/x
  3. Step 3: Cross multiply
    7,884.96x = 10,875.09 × 5,052.60
  4. Step 4: Simplify right side
    7,884.96x = 54,947,479.73
  5. Step 5: Solve for x
    x = 54,947,479.73/7,884.96
  6. Step 6: Final answer
    x = 6,968.64

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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.