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Finding the Fourth Proportional to 10,703.61, 14,772.09 and 6,166.45

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Solution

The fourth proportional to 10,703.61, 14,772.09 and 6,166.45 is: 8,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.61 : 14,772.09 = 6,166.45 : x
  2. Step 2: Convert to fraction form
    10,703.61/14,772.09 = 6,166.45/x
  3. Step 3: Cross multiply
    10,703.61x = 14,772.09 × 6,166.45
  4. Step 4: Simplify right side
    10,703.61x = 91,091,354.38
  5. Step 5: Solve for x
    x = 91,091,354.38/10,703.61
  6. Step 6: Final answer
    x = 8,510.34

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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.