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Finding the Fourth Proportional to 7,470.32, 10,313.18 and 4,486.88

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Solution

The fourth proportional to 7,470.32, 10,313.18 and 4,486.88 is: 6,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.32 : 10,313.18 = 4,486.88 : x
  2. Step 2: Convert to fraction form
    7,470.32/10,313.18 = 4,486.88/x
  3. Step 3: Cross multiply
    7,470.32x = 10,313.18 × 4,486.88
  4. Step 4: Simplify right side
    7,470.32x = 46,273,927.08
  5. Step 5: Solve for x
    x = 46,273,927.08/7,470.32
  6. Step 6: Final answer
    x = 6,194.37

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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.