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Finding the Fourth Proportional to 8,248.77, 11,383.34 and 4,712.00

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Solution

The fourth proportional to 8,248.77, 11,383.34 and 4,712.00 is: 6,502.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,248.77 : 11,383.34 = 4,712.00 : x
  2. Step 2: Convert to fraction form
    8,248.77/11,383.34 = 4,712.00/x
  3. Step 3: Cross multiply
    8,248.77x = 11,383.34 × 4,712.00
  4. Step 4: Simplify right side
    8,248.77x = 53,638,217.60
  5. Step 5: Solve for x
    x = 53,638,217.60/8,248.77
  6. Step 6: Final answer
    x = 6,502.57

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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.