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Finding the Fourth Proportional to 7,702.32, 10,623.24 and 5,013.12

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Solution

The fourth proportional to 7,702.32, 10,623.24 and 5,013.12 is: 6,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.32 : 10,623.24 = 5,013.12 : x
  2. Step 2: Convert to fraction form
    7,702.32/10,623.24 = 5,013.12/x
  3. Step 3: Cross multiply
    7,702.32x = 10,623.24 × 5,013.12
  4. Step 4: Simplify right side
    7,702.32x = 53,255,576.91
  5. Step 5: Solve for x
    x = 53,255,576.91/7,702.32
  6. Step 6: Final answer
    x = 6,914.23

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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.