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Finding the Fourth Proportional to 7,364.79, 10,162.83 and 4,178.12

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Solution

The fourth proportional to 7,364.79, 10,162.83 and 4,178.12 is: 5,765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364.79 : 10,162.83 = 4,178.12 : x
  2. Step 2: Convert to fraction form
    7,364.79/10,162.83 = 4,178.12/x
  3. Step 3: Cross multiply
    7,364.79x = 10,162.83 × 4,178.12
  4. Step 4: Simplify right side
    7,364.79x = 42,461,488.13
  5. Step 5: Solve for x
    x = 42,461,488.13/7,364.79
  6. Step 6: Final answer
    x = 5,765.47

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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.