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Finding the Fourth Proportional to 10,017.66, 13,829.20 and 6,666.06

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Solution

The fourth proportional to 10,017.66, 13,829.20 and 6,666.06 is: 9,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.66 : 13,829.20 = 6,666.06 : x
  2. Step 2: Convert to fraction form
    10,017.66/13,829.20 = 6,666.06/x
  3. Step 3: Cross multiply
    10,017.66x = 13,829.20 × 6,666.06
  4. Step 4: Simplify right side
    10,017.66x = 92,186,276.95
  5. Step 5: Solve for x
    x = 92,186,276.95/10,017.66
  6. Step 6: Final answer
    x = 9,202.38

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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.