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Finding the Fourth Proportional to 7,352.98, 10,146.38 and 4,165.64

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Solution

The fourth proportional to 7,352.98, 10,146.38 and 4,165.64 is: 5,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.98 : 10,146.38 = 4,165.64 : x
  2. Step 2: Convert to fraction form
    7,352.98/10,146.38 = 4,165.64/x
  3. Step 3: Cross multiply
    7,352.98x = 10,146.38 × 4,165.64
  4. Step 4: Simplify right side
    7,352.98x = 42,266,145.56
  5. Step 5: Solve for x
    x = 42,266,145.56/7,352.98
  6. Step 6: Final answer
    x = 5,748.17

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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.