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Finding the Fourth Proportional to 7,451.72, 10,283.28 and 4,307.84

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Solution

The fourth proportional to 7,451.72, 10,283.28 and 4,307.84 is: 5,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.72 : 10,283.28 = 4,307.84 : x
  2. Step 2: Convert to fraction form
    7,451.72/10,283.28 = 4,307.84/x
  3. Step 3: Cross multiply
    7,451.72x = 10,283.28 × 4,307.84
  4. Step 4: Simplify right side
    7,451.72x = 44,298,724.92
  5. Step 5: Solve for x
    x = 44,298,724.92/7,451.72
  6. Step 6: Final answer
    x = 5,944.77

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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.