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Finding the Fourth Proportional to 8,537.74, 11,776.53 and 6,023.50

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Solution

The fourth proportional to 8,537.74, 11,776.53 and 6,023.50 is: 8,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.74 : 11,776.53 = 6,023.50 : x
  2. Step 2: Convert to fraction form
    8,537.74/11,776.53 = 6,023.50/x
  3. Step 3: Cross multiply
    8,537.74x = 11,776.53 × 6,023.50
  4. Step 4: Simplify right side
    8,537.74x = 70,935,928.46
  5. Step 5: Solve for x
    x = 70,935,928.46/8,537.74
  6. Step 6: Final answer
    x = 8,308.51

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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.