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Finding the Fourth Proportional to 8,355.76, 11,527.82 and 4,817.68

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Solution

The fourth proportional to 8,355.76, 11,527.82 and 4,817.68 is: 6,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.76 : 11,527.82 = 4,817.68 : x
  2. Step 2: Convert to fraction form
    8,355.76/11,527.82 = 4,817.68/x
  3. Step 3: Cross multiply
    8,355.76x = 11,527.82 × 4,817.68
  4. Step 4: Simplify right side
    8,355.76x = 55,537,313.02
  5. Step 5: Solve for x
    x = 55,537,313.02/8,355.76
  6. Step 6: Final answer
    x = 6,646.59

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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.