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Finding the Fourth Proportional to 7,687.84, 11,526.66 and 3,008.32

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Solution

The fourth proportional to 7,687.84, 11,526.66 and 3,008.32 is: 4,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.84 : 11,526.66 = 3,008.32 : x
  2. Step 2: Convert to fraction form
    7,687.84/11,526.66 = 3,008.32/x
  3. Step 3: Cross multiply
    7,687.84x = 11,526.66 × 3,008.32
  4. Step 4: Simplify right side
    7,687.84x = 34,675,881.81
  5. Step 5: Solve for x
    x = 34,675,881.81/7,687.84
  6. Step 6: Final answer
    x = 4,510.48

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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.