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Finding the Fourth Proportional to 10,358.96, 14,295.22 and 5,643.14

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Solution

The fourth proportional to 10,358.96, 14,295.22 and 5,643.14 is: 7,787.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.96 : 14,295.22 = 5,643.14 : x
  2. Step 2: Convert to fraction form
    10,358.96/14,295.22 = 5,643.14/x
  3. Step 3: Cross multiply
    10,358.96x = 14,295.22 × 5,643.14
  4. Step 4: Simplify right side
    10,358.96x = 80,669,842.21
  5. Step 5: Solve for x
    x = 80,669,842.21/10,358.96
  6. Step 6: Final answer
    x = 7,787.45

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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.