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Finding the Fourth Proportional to 10,726.16, 14,799.69 and 6,477.92

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Solution

The fourth proportional to 10,726.16, 14,799.69 and 6,477.92 is: 8,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.16 : 14,799.69 = 6,477.92 : x
  2. Step 2: Convert to fraction form
    10,726.16/14,799.69 = 6,477.92/x
  3. Step 3: Cross multiply
    10,726.16x = 14,799.69 × 6,477.92
  4. Step 4: Simplify right side
    10,726.16x = 95,871,133.85
  5. Step 5: Solve for x
    x = 95,871,133.85/10,726.16
  6. Step 6: Final answer
    x = 8,938.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.