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Finding the Fourth Proportional to 7,880.30, 10,865.64 and 5,887.34

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Solution

The fourth proportional to 7,880.30, 10,865.64 and 5,887.34 is: 8,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.30 : 10,865.64 = 5,887.34 : x
  2. Step 2: Convert to fraction form
    7,880.30/10,865.64 = 5,887.34/x
  3. Step 3: Cross multiply
    7,880.30x = 10,865.64 × 5,887.34
  4. Step 4: Simplify right side
    7,880.30x = 63,969,717.00
  5. Step 5: Solve for x
    x = 63,969,717.00/7,880.30
  6. Step 6: Final answer
    x = 8,117.68

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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.