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Finding the Fourth Proportional to 8,456.12, 11,667.02 and 5,097.32

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Solution

The fourth proportional to 8,456.12, 11,667.02 and 5,097.32 is: 7,032.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.12 : 11,667.02 = 5,097.32 : x
  2. Step 2: Convert to fraction form
    8,456.12/11,667.02 = 5,097.32/x
  3. Step 3: Cross multiply
    8,456.12x = 11,667.02 × 5,097.32
  4. Step 4: Simplify right side
    8,456.12x = 59,470,534.39
  5. Step 5: Solve for x
    x = 59,470,534.39/8,456.12
  6. Step 6: Final answer
    x = 7,032.84

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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.