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Finding the Fourth Proportional to 7,880, 10,875.48 and 5,084.96

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Solution

The fourth proportional to 7,880, 10,875.48 and 5,084.96 is: 7,017.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880 : 10,875.48 = 5,084.96 : x
  2. Step 2: Convert to fraction form
    7,880/10,875.48 = 5,084.96/x
  3. Step 3: Cross multiply
    7,880x = 10,875.48 × 5,084.96
  4. Step 4: Simplify right side
    7,880x = 55,301,380.78
  5. Step 5: Solve for x
    x = 55,301,380.78/7,880
  6. Step 6: Final answer
    x = 7,017.94

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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.