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Finding the Fourth Proportional to 6,536.79, 9,792.18 and 5,840.19

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Solution

The fourth proportional to 6,536.79, 9,792.18 and 5,840.19 is: 8,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.79 : 9,792.18 = 5,840.19 : x
  2. Step 2: Convert to fraction form
    6,536.79/9,792.18 = 5,840.19/x
  3. Step 3: Cross multiply
    6,536.79x = 9,792.18 × 5,840.19
  4. Step 4: Simplify right side
    6,536.79x = 57,188,191.71
  5. Step 5: Solve for x
    x = 57,188,191.71/6,536.79
  6. Step 6: Final answer
    x = 8,748.67

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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.