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Finding the Fourth Proportional to 10,178.63, 14,047.34 and 5,703.38

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Solution

The fourth proportional to 10,178.63, 14,047.34 and 5,703.38 is: 7,871.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.63 : 14,047.34 = 5,703.38 : x
  2. Step 2: Convert to fraction form
    10,178.63/14,047.34 = 5,703.38/x
  3. Step 3: Cross multiply
    10,178.63x = 14,047.34 × 5,703.38
  4. Step 4: Simplify right side
    10,178.63x = 80,117,324.61
  5. Step 5: Solve for x
    x = 80,117,324.61/10,178.63
  6. Step 6: Final answer
    x = 7,871.13

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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.