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Finding the Fourth Proportional to 7,944, 10,962.72 and 5,149.50

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Solution

The fourth proportional to 7,944, 10,962.72 and 5,149.50 is: 7,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944 : 10,962.72 = 5,149.50 : x
  2. Step 2: Convert to fraction form
    7,944/10,962.72 = 5,149.50/x
  3. Step 3: Cross multiply
    7,944x = 10,962.72 × 5,149.50
  4. Step 4: Simplify right side
    7,944x = 56,452,526.64
  5. Step 5: Solve for x
    x = 56,452,526.64/7,944
  6. Step 6: Final answer
    x = 7,106.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.