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Finding the Fourth Proportional to 7,287.75, 10,055.48 and 4,303.71

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Solution

The fourth proportional to 7,287.75, 10,055.48 and 4,303.71 is: 5,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.75 : 10,055.48 = 4,303.71 : x
  2. Step 2: Convert to fraction form
    7,287.75/10,055.48 = 4,303.71/x
  3. Step 3: Cross multiply
    7,287.75x = 10,055.48 × 4,303.71
  4. Step 4: Simplify right side
    7,287.75x = 43,275,848.31
  5. Step 5: Solve for x
    x = 43,275,848.31/7,287.75
  6. Step 6: Final answer
    x = 5,938.16

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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.