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Finding the Fourth Proportional to 7,325.82, 10,970.25 and 4,853.16

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Solution

The fourth proportional to 7,325.82, 10,970.25 and 4,853.16 is: 7,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,325.82 : 10,970.25 = 4,853.16 : x
  2. Step 2: Convert to fraction form
    7,325.82/10,970.25 = 4,853.16/x
  3. Step 3: Cross multiply
    7,325.82x = 10,970.25 × 4,853.16
  4. Step 4: Simplify right side
    7,325.82x = 53,240,378.49
  5. Step 5: Solve for x
    x = 53,240,378.49/7,325.82
  6. Step 6: Final answer
    x = 7,267.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.