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Finding the Fourth Proportional to 10,165.84, 14,031.20 and 6,622.88

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Solution

The fourth proportional to 10,165.84, 14,031.20 and 6,622.88 is: 9,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.84 : 14,031.20 = 6,622.88 : x
  2. Step 2: Convert to fraction form
    10,165.84/14,031.20 = 6,622.88/x
  3. Step 3: Cross multiply
    10,165.84x = 14,031.20 × 6,622.88
  4. Step 4: Simplify right side
    10,165.84x = 92,926,953.86
  5. Step 5: Solve for x
    x = 92,926,953.86/10,165.84
  6. Step 6: Final answer
    x = 9,141.10

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