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Finding the Fourth Proportional to 8,333.67, 12,494.31 and 5,046

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Solution

The fourth proportional to 8,333.67, 12,494.31 and 5,046 is: 7,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.67 : 12,494.31 = 5,046 : x
  2. Step 2: Convert to fraction form
    8,333.67/12,494.31 = 5,046/x
  3. Step 3: Cross multiply
    8,333.67x = 12,494.31 × 5,046
  4. Step 4: Simplify right side
    8,333.67x = 63,046,288.26
  5. Step 5: Solve for x
    x = 63,046,288.26/8,333.67
  6. Step 6: Final answer
    x = 7,565.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.