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Finding the Fourth Proportional to 7,463.17, 10,299.23 and 4,106.20

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Solution

The fourth proportional to 7,463.17, 10,299.23 and 4,106.20 is: 5,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.17 : 10,299.23 = 4,106.20 : x
  2. Step 2: Convert to fraction form
    7,463.17/10,299.23 = 4,106.20/x
  3. Step 3: Cross multiply
    7,463.17x = 10,299.23 × 4,106.20
  4. Step 4: Simplify right side
    7,463.17x = 42,290,698.23
  5. Step 5: Solve for x
    x = 42,290,698.23/7,463.17
  6. Step 6: Final answer
    x = 5,666.59

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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.