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Finding the Fourth Proportional to 7,853.12, 10,837.08 and 5,060.24

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Solution

The fourth proportional to 7,853.12, 10,837.08 and 5,060.24 is: 6,982.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.12 : 10,837.08 = 5,060.24 : x
  2. Step 2: Convert to fraction form
    7,853.12/10,837.08 = 5,060.24/x
  3. Step 3: Cross multiply
    7,853.12x = 10,837.08 × 5,060.24
  4. Step 4: Simplify right side
    7,853.12x = 54,838,225.70
  5. Step 5: Solve for x
    x = 54,838,225.70/7,853.12
  6. Step 6: Final answer
    x = 6,982.99

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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.