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Finding the Fourth Proportional to 10,475.70, 14,455.82 and 5,998.42

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Solution

The fourth proportional to 10,475.70, 14,455.82 and 5,998.42 is: 8,277.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.70 : 14,455.82 = 5,998.42 : x
  2. Step 2: Convert to fraction form
    10,475.70/14,455.82 = 5,998.42/x
  3. Step 3: Cross multiply
    10,475.70x = 14,455.82 × 5,998.42
  4. Step 4: Simplify right side
    10,475.70x = 86,712,079.13
  5. Step 5: Solve for x
    x = 86,712,079.13/10,475.70
  6. Step 6: Final answer
    x = 8,277.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.