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Finding the Fourth Proportional to 7,277.42, 10,920.06 and 2,894.93

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Solution

The fourth proportional to 7,277.42, 10,920.06 and 2,894.93 is: 4,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.42 : 10,920.06 = 2,894.93 : x
  2. Step 2: Convert to fraction form
    7,277.42/10,920.06 = 2,894.93/x
  3. Step 3: Cross multiply
    7,277.42x = 10,920.06 × 2,894.93
  4. Step 4: Simplify right side
    7,277.42x = 31,612,809.30
  5. Step 5: Solve for x
    x = 31,612,809.30/7,277.42
  6. Step 6: Final answer
    x = 4,343.96

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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.