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Finding the Fourth Proportional to 8,438, 11,644.44 and 4,712

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Solution

The fourth proportional to 8,438, 11,644.44 and 4,712 is: 6,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438 : 11,644.44 = 4,712 : x
  2. Step 2: Convert to fraction form
    8,438/11,644.44 = 4,712/x
  3. Step 3: Cross multiply
    8,438x = 11,644.44 × 4,712
  4. Step 4: Simplify right side
    8,438x = 54,868,601.28
  5. Step 5: Solve for x
    x = 54,868,601.28/8,438
  6. Step 6: Final answer
    x = 6,502.56

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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.