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Finding the Fourth Proportional to 7,026, 10,534.14 and 4,253.37

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Solution

The fourth proportional to 7,026, 10,534.14 and 4,253.37 is: 6,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026 : 10,534.14 = 4,253.37 : x
  2. Step 2: Convert to fraction form
    7,026/10,534.14 = 4,253.37/x
  3. Step 3: Cross multiply
    7,026x = 10,534.14 × 4,253.37
  4. Step 4: Simplify right side
    7,026x = 44,805,595.05
  5. Step 5: Solve for x
    x = 44,805,595.05/7,026
  6. Step 6: Final answer
    x = 6,377.11

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