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Finding the Fourth Proportional to 10,366.16, 15,549.30 and 2,574.99

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Solution

The fourth proportional to 10,366.16, 15,549.30 and 2,574.99 is: 3,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.16 : 15,549.30 = 2,574.99 : x
  2. Step 2: Convert to fraction form
    10,366.16/15,549.30 = 2,574.99/x
  3. Step 3: Cross multiply
    10,366.16x = 15,549.30 × 2,574.99
  4. Step 4: Simplify right side
    10,366.16x = 40,039,292.01
  5. Step 5: Solve for x
    x = 40,039,292.01/10,366.16
  6. Step 6: Final answer
    x = 3,862.50

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Why These Related Problems?

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