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Finding the Fourth Proportional to 8,527.96, 11,764.08 and 5,870.77

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Solution

The fourth proportional to 8,527.96, 11,764.08 and 5,870.77 is: 8,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.96 : 11,764.08 = 5,870.77 : x
  2. Step 2: Convert to fraction form
    8,527.96/11,764.08 = 5,870.77/x
  3. Step 3: Cross multiply
    8,527.96x = 11,764.08 × 5,870.77
  4. Step 4: Simplify right side
    8,527.96x = 69,064,207.94
  5. Step 5: Solve for x
    x = 69,064,207.94/8,527.96
  6. Step 6: Final answer
    x = 8,098.56

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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.