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Finding the Fourth Proportional to 10,128.34, 13,979.97 and 5,880.32

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Solution

The fourth proportional to 10,128.34, 13,979.97 and 5,880.32 is: 8,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128.34 : 13,979.97 = 5,880.32 : x
  2. Step 2: Convert to fraction form
    10,128.34/13,979.97 = 5,880.32/x
  3. Step 3: Cross multiply
    10,128.34x = 13,979.97 × 5,880.32
  4. Step 4: Simplify right side
    10,128.34x = 82,206,702.50
  5. Step 5: Solve for x
    x = 82,206,702.50/10,128.34
  6. Step 6: Final answer
    x = 8,116.50

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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.