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Finding the Fourth Proportional to 7,920.72, 10,931.75 and 4,562.88

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Solution

The fourth proportional to 7,920.72, 10,931.75 and 4,562.88 is: 6,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.72 : 10,931.75 = 4,562.88 : x
  2. Step 2: Convert to fraction form
    7,920.72/10,931.75 = 4,562.88/x
  3. Step 3: Cross multiply
    7,920.72x = 10,931.75 × 4,562.88
  4. Step 4: Simplify right side
    7,920.72x = 49,880,240.63
  5. Step 5: Solve for x
    x = 49,880,240.63/7,920.72
  6. Step 6: Final answer
    x = 6,297.44

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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.