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Finding the Fourth Proportional to 10,409.34, 14,365.10 and 5,693.73

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Solution

The fourth proportional to 10,409.34, 14,365.10 and 5,693.73 is: 7,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.34 : 14,365.10 = 5,693.73 : x
  2. Step 2: Convert to fraction form
    10,409.34/14,365.10 = 5,693.73/x
  3. Step 3: Cross multiply
    10,409.34x = 14,365.10 × 5,693.73
  4. Step 4: Simplify right side
    10,409.34x = 81,790,929.16
  5. Step 5: Solve for x
    x = 81,790,929.16/10,409.34
  6. Step 6: Final answer
    x = 7,857.45

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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.