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Finding the Fourth Proportional to 10,304.45, 14,221.09 and 6,476.71

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Solution

The fourth proportional to 10,304.45, 14,221.09 and 6,476.71 is: 8,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.45 : 14,221.09 = 6,476.71 : x
  2. Step 2: Convert to fraction form
    10,304.45/14,221.09 = 6,476.71/x
  3. Step 3: Cross multiply
    10,304.45x = 14,221.09 × 6,476.71
  4. Step 4: Simplify right side
    10,304.45x = 92,105,875.81
  5. Step 5: Solve for x
    x = 92,105,875.81/10,304.45
  6. Step 6: Final answer
    x = 8,938.46

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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.