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Finding the Fourth Proportional to 7,387.65, 10,194.96 and 4,735.06

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Solution

The fourth proportional to 7,387.65, 10,194.96 and 4,735.06 is: 6,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.65 : 10,194.96 = 4,735.06 : x
  2. Step 2: Convert to fraction form
    7,387.65/10,194.96 = 4,735.06/x
  3. Step 3: Cross multiply
    7,387.65x = 10,194.96 × 4,735.06
  4. Step 4: Simplify right side
    7,387.65x = 48,273,740.71
  5. Step 5: Solve for x
    x = 48,273,740.71/7,387.65
  6. Step 6: Final answer
    x = 6,534.38

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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.