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Finding the Fourth Proportional to 7,857.62, 10,838.91 and 5,063.12

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Solution

The fourth proportional to 7,857.62, 10,838.91 and 5,063.12 is: 6,984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.62 : 10,838.91 = 5,063.12 : x
  2. Step 2: Convert to fraction form
    7,857.62/10,838.91 = 5,063.12/x
  3. Step 3: Cross multiply
    7,857.62x = 10,838.91 × 5,063.12
  4. Step 4: Simplify right side
    7,857.62x = 54,878,702.00
  5. Step 5: Solve for x
    x = 54,878,702.00/7,857.62
  6. Step 6: Final answer
    x = 6,984.14

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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.