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Finding the Fourth Proportional to 7,693.17, 11,540.22 and 2,428.35

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Solution

The fourth proportional to 7,693.17, 11,540.22 and 2,428.35 is: 3,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.17 : 11,540.22 = 2,428.35 : x
  2. Step 2: Convert to fraction form
    7,693.17/11,540.22 = 2,428.35/x
  3. Step 3: Cross multiply
    7,693.17x = 11,540.22 × 2,428.35
  4. Step 4: Simplify right side
    7,693.17x = 28,023,681.10
  5. Step 5: Solve for x
    x = 28,023,681.10/7,693.17
  6. Step 6: Final answer
    x = 3,642.67

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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.