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Finding the Fourth Proportional to 7,437.53, 10,263.14 and 4,250.20

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Solution

The fourth proportional to 7,437.53, 10,263.14 and 4,250.20 is: 5,864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,437.53 : 10,263.14 = 4,250.20 : x
  2. Step 2: Convert to fraction form
    7,437.53/10,263.14 = 4,250.20/x
  3. Step 3: Cross multiply
    7,437.53x = 10,263.14 × 4,250.20
  4. Step 4: Simplify right side
    7,437.53x = 43,620,325.06
  5. Step 5: Solve for x
    x = 43,620,325.06/7,437.53
  6. Step 6: Final answer
    x = 5,864.89

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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.