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Finding the Fourth Proportional to 8,526.40, 11,771.84 and 5,842.16

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Solution

The fourth proportional to 8,526.40, 11,771.84 and 5,842.16 is: 8,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.40 : 11,771.84 = 5,842.16 : x
  2. Step 2: Convert to fraction form
    8,526.40/11,771.84 = 5,842.16/x
  3. Step 3: Cross multiply
    8,526.40x = 11,771.84 × 5,842.16
  4. Step 4: Simplify right side
    8,526.40x = 68,772,972.77
  5. Step 5: Solve for x
    x = 68,772,972.77/8,526.40
  6. Step 6: Final answer
    x = 8,065.89

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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.