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Finding the Fourth Proportional to 7,473.20, 10,313.64 and 4,116.71

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Solution

The fourth proportional to 7,473.20, 10,313.64 and 4,116.71 is: 5,681.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473.20 : 10,313.64 = 4,116.71 : x
  2. Step 2: Convert to fraction form
    7,473.20/10,313.64 = 4,116.71/x
  3. Step 3: Cross multiply
    7,473.20x = 10,313.64 × 4,116.71
  4. Step 4: Simplify right side
    7,473.20x = 42,458,264.92
  5. Step 5: Solve for x
    x = 42,458,264.92/7,473.20
  6. Step 6: Final answer
    x = 5,681.40

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Why These Related Problems?

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