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Finding the Fourth Proportional to 8,767.84, 13,151.76 and 2,924.56

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Solution

The fourth proportional to 8,767.84, 13,151.76 and 2,924.56 is: 4,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.84 : 13,151.76 = 2,924.56 : x
  2. Step 2: Convert to fraction form
    8,767.84/13,151.76 = 2,924.56/x
  3. Step 3: Cross multiply
    8,767.84x = 13,151.76 × 2,924.56
  4. Step 4: Simplify right side
    8,767.84x = 38,463,111.23
  5. Step 5: Solve for x
    x = 38,463,111.23/8,767.84
  6. Step 6: Final answer
    x = 4,386.84

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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.