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Finding the Fourth Proportional to 7,950, 10,968.72 and 4,762.02

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Solution

The fourth proportional to 7,950, 10,968.72 and 4,762.02 is: 6,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,950 : 10,968.72 = 4,762.02 : x
  2. Step 2: Convert to fraction form
    7,950/10,968.72 = 4,762.02/x
  3. Step 3: Cross multiply
    7,950x = 10,968.72 × 4,762.02
  4. Step 4: Simplify right side
    7,950x = 52,233,264.01
  5. Step 5: Solve for x
    x = 52,233,264.01/7,950
  6. Step 6: Final answer
    x = 6,570.22

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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.