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Finding the Fourth Proportional to 7,681.81, 11,522.94 and 3,001.63

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Solution

The fourth proportional to 7,681.81, 11,522.94 and 3,001.63 is: 4,502.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.81 : 11,522.94 = 3,001.63 : x
  2. Step 2: Convert to fraction form
    7,681.81/11,522.94 = 3,001.63/x
  3. Step 3: Cross multiply
    7,681.81x = 11,522.94 × 3,001.63
  4. Step 4: Simplify right side
    7,681.81x = 34,587,602.39
  5. Step 5: Solve for x
    x = 34,587,602.39/7,681.81
  6. Step 6: Final answer
    x = 4,502.53

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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.