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Finding the Fourth Proportional to 10,264.93, 15,396.78 and 2,869.22

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Solution

The fourth proportional to 10,264.93, 15,396.78 and 2,869.22 is: 4,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.93 : 15,396.78 = 2,869.22 : x
  2. Step 2: Convert to fraction form
    10,264.93/15,396.78 = 2,869.22/x
  3. Step 3: Cross multiply
    10,264.93x = 15,396.78 × 2,869.22
  4. Step 4: Simplify right side
    10,264.93x = 44,176,798.36
  5. Step 5: Solve for x
    x = 44,176,798.36/10,264.93
  6. Step 6: Final answer
    x = 4,303.66

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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.