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Finding the Fourth Proportional to 10,302.31, 15,454.23 and 2,807.16

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Solution

The fourth proportional to 10,302.31, 15,454.23 and 2,807.16 is: 4,210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.31 : 15,454.23 = 2,807.16 : x
  2. Step 2: Convert to fraction form
    10,302.31/15,454.23 = 2,807.16/x
  3. Step 3: Cross multiply
    10,302.31x = 15,454.23 × 2,807.16
  4. Step 4: Simplify right side
    10,302.31x = 43,382,496.29
  5. Step 5: Solve for x
    x = 43,382,496.29/10,302.31
  6. Step 6: Final answer
    x = 4,210.95

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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.