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Finding the Fourth Proportional to 7,635.16, 10,541.28 and 5,863.24

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Solution

The fourth proportional to 7,635.16, 10,541.28 and 5,863.24 is: 8,094.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.16 : 10,541.28 = 5,863.24 : x
  2. Step 2: Convert to fraction form
    7,635.16/10,541.28 = 5,863.24/x
  3. Step 3: Cross multiply
    7,635.16x = 10,541.28 × 5,863.24
  4. Step 4: Simplify right side
    7,635.16x = 61,806,054.55
  5. Step 5: Solve for x
    x = 61,806,054.55/7,635.16
  6. Step 6: Final answer
    x = 8,094.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.