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Finding the Fourth Proportional to 7,327.84, 10,113.52 and 5,767.68

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Solution

The fourth proportional to 7,327.84, 10,113.52 and 5,767.68 is: 7,960.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,327.84 : 10,113.52 = 5,767.68 : x
  2. Step 2: Convert to fraction form
    7,327.84/10,113.52 = 5,767.68/x
  3. Step 3: Cross multiply
    7,327.84x = 10,113.52 × 5,767.68
  4. Step 4: Simplify right side
    7,327.84x = 58,331,547.03
  5. Step 5: Solve for x
    x = 58,331,547.03/7,327.84
  6. Step 6: Final answer
    x = 7,960.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.