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Finding the Fourth Proportional to 7,208.81, 9,948.16 and 4,065.00

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Solution

The fourth proportional to 7,208.81, 9,948.16 and 4,065.00 is: 5,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.81 : 9,948.16 = 4,065.00 : x
  2. Step 2: Convert to fraction form
    7,208.81/9,948.16 = 4,065.00/x
  3. Step 3: Cross multiply
    7,208.81x = 9,948.16 × 4,065.00
  4. Step 4: Simplify right side
    7,208.81x = 40,439,200.33
  5. Step 5: Solve for x
    x = 40,439,200.33/7,208.81
  6. Step 6: Final answer
    x = 5,609.69

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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.