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Finding the Fourth Proportional to 8,527.32, 12,773.97 and 4,131.45

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Solution

The fourth proportional to 8,527.32, 12,773.97 and 4,131.45 is: 6,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.32 : 12,773.97 = 4,131.45 : x
  2. Step 2: Convert to fraction form
    8,527.32/12,773.97 = 4,131.45/x
  3. Step 3: Cross multiply
    8,527.32x = 12,773.97 × 4,131.45
  4. Step 4: Simplify right side
    8,527.32x = 52,775,018.36
  5. Step 5: Solve for x
    x = 52,775,018.36/8,527.32
  6. Step 6: Final answer
    x = 6,188.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.