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Finding the Fourth Proportional to 7,681.86, 11,522.75 and 3,302.39

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Solution

The fourth proportional to 7,681.86, 11,522.75 and 3,302.39 is: 4,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.86 : 11,522.75 = 3,302.39 : x
  2. Step 2: Convert to fraction form
    7,681.86/11,522.75 = 3,302.39/x
  3. Step 3: Cross multiply
    7,681.86x = 11,522.75 × 3,302.39
  4. Step 4: Simplify right side
    7,681.86x = 38,052,626.67
  5. Step 5: Solve for x
    x = 38,052,626.67/7,681.86
  6. Step 6: Final answer
    x = 4,953.57

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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.