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Finding the Fourth Proportional to 10,170.34, 14,035.59 and 5,693.82

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Solution

The fourth proportional to 10,170.34, 14,035.59 and 5,693.82 is: 7,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.34 : 14,035.59 = 5,693.82 : x
  2. Step 2: Convert to fraction form
    10,170.34/14,035.59 = 5,693.82/x
  3. Step 3: Cross multiply
    10,170.34x = 14,035.59 × 5,693.82
  4. Step 4: Simplify right side
    10,170.34x = 79,916,154.83
  5. Step 5: Solve for x
    x = 79,916,154.83/10,170.34
  6. Step 6: Final answer
    x = 7,857.77

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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.