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Finding the Fourth Proportional to 10,525.71, 15,799.94 and 9,363.16

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Solution

The fourth proportional to 10,525.71, 15,799.94 and 9,363.16 is: 14,054.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.71 : 15,799.94 = 9,363.16 : x
  2. Step 2: Convert to fraction form
    10,525.71/15,799.94 = 9,363.16/x
  3. Step 3: Cross multiply
    10,525.71x = 15,799.94 × 9,363.16
  4. Step 4: Simplify right side
    10,525.71x = 147,937,240.39
  5. Step 5: Solve for x
    x = 147,937,240.39/10,525.71
  6. Step 6: Final answer
    x = 14,054.85

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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.