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Finding the Fourth Proportional to 7,534.44, 10,398.50 and 4,223.08

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Solution

The fourth proportional to 7,534.44, 10,398.50 and 4,223.08 is: 5,828.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.44 : 10,398.50 = 4,223.08 : x
  2. Step 2: Convert to fraction form
    7,534.44/10,398.50 = 4,223.08/x
  3. Step 3: Cross multiply
    7,534.44x = 10,398.50 × 4,223.08
  4. Step 4: Simplify right side
    7,534.44x = 43,913,697.38
  5. Step 5: Solve for x
    x = 43,913,697.38/7,534.44
  6. Step 6: Final answer
    x = 5,828.40

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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.