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Finding the Fourth Proportional to 7,506.71, 10,359.50 and 4,149.63

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Solution

The fourth proportional to 7,506.71, 10,359.50 and 4,149.63 is: 5,726.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.71 : 10,359.50 = 4,149.63 : x
  2. Step 2: Convert to fraction form
    7,506.71/10,359.50 = 4,149.63/x
  3. Step 3: Cross multiply
    7,506.71x = 10,359.50 × 4,149.63
  4. Step 4: Simplify right side
    7,506.71x = 42,988,071.24
  5. Step 5: Solve for x
    x = 42,988,071.24/7,506.71
  6. Step 6: Final answer
    x = 5,726.62

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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.