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Finding the Fourth Proportional to 8,534.37, 11,774.16 and 6,301.56

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Solution

The fourth proportional to 8,534.37, 11,774.16 and 6,301.56 is: 8,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.37 : 11,774.16 = 6,301.56 : x
  2. Step 2: Convert to fraction form
    8,534.37/11,774.16 = 6,301.56/x
  3. Step 3: Cross multiply
    8,534.37x = 11,774.16 × 6,301.56
  4. Step 4: Simplify right side
    8,534.37x = 74,195,575.69
  5. Step 5: Solve for x
    x = 74,195,575.69/8,534.37
  6. Step 6: Final answer
    x = 8,693.74

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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.