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Finding the Fourth Proportional to 10,663.38, 14,703.12 and 8,767.98

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Solution

The fourth proportional to 10,663.38, 14,703.12 and 8,767.98 is: 12,089.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.38 : 14,703.12 = 8,767.98 : x
  2. Step 2: Convert to fraction form
    10,663.38/14,703.12 = 8,767.98/x
  3. Step 3: Cross multiply
    10,663.38x = 14,703.12 × 8,767.98
  4. Step 4: Simplify right side
    10,663.38x = 128,916,662.10
  5. Step 5: Solve for x
    x = 128,916,662.10/10,663.38
  6. Step 6: Final answer
    x = 12,089.66

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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.