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Finding the Fourth Proportional to 7,267.65, 10,029.57 and 5,146.98

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Solution

The fourth proportional to 7,267.65, 10,029.57 and 5,146.98 is: 7,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.65 : 10,029.57 = 5,146.98 : x
  2. Step 2: Convert to fraction form
    7,267.65/10,029.57 = 5,146.98/x
  3. Step 3: Cross multiply
    7,267.65x = 10,029.57 × 5,146.98
  4. Step 4: Simplify right side
    7,267.65x = 51,621,996.20
  5. Step 5: Solve for x
    x = 51,621,996.20/7,267.65
  6. Step 6: Final answer
    x = 7,102.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.