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Finding the Fourth Proportional to 7,574.01, 10,460.91 and 5,052

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Solution

The fourth proportional to 7,574.01, 10,460.91 and 5,052 is: 6,977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.01 : 10,460.91 = 5,052 : x
  2. Step 2: Convert to fraction form
    7,574.01/10,460.91 = 5,052/x
  3. Step 3: Cross multiply
    7,574.01x = 10,460.91 × 5,052
  4. Step 4: Simplify right side
    7,574.01x = 52,848,517.32
  5. Step 5: Solve for x
    x = 52,848,517.32/7,574.01
  6. Step 6: Final answer
    x = 6,977.61

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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.