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Finding the Fourth Proportional to 8,935.24, 12,330.42 and 4,956.16

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Solution

The fourth proportional to 8,935.24, 12,330.42 and 4,956.16 is: 6,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,935.24 : 12,330.42 = 4,956.16 : x
  2. Step 2: Convert to fraction form
    8,935.24/12,330.42 = 4,956.16/x
  3. Step 3: Cross multiply
    8,935.24x = 12,330.42 × 4,956.16
  4. Step 4: Simplify right side
    8,935.24x = 61,111,534.39
  5. Step 5: Solve for x
    x = 61,111,534.39/8,935.24
  6. Step 6: Final answer
    x = 6,839.38

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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.