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Finding the Fourth Proportional to 10,420.96, 14,381.92 and 7,070.80

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Solution

The fourth proportional to 10,420.96, 14,381.92 and 7,070.80 is: 9,758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.96 : 14,381.92 = 7,070.80 : x
  2. Step 2: Convert to fraction form
    10,420.96/14,381.92 = 7,070.80/x
  3. Step 3: Cross multiply
    10,420.96x = 14,381.92 × 7,070.80
  4. Step 4: Simplify right side
    10,420.96x = 101,691,679.94
  5. Step 5: Solve for x
    x = 101,691,679.94/10,420.96
  6. Step 6: Final answer
    x = 9,758.38

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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.