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Finding the Fourth Proportional to 10,354.98, 14,289.42 and 5,639.30

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Solution

The fourth proportional to 10,354.98, 14,289.42 and 5,639.30 is: 7,781.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.98 : 14,289.42 = 5,639.30 : x
  2. Step 2: Convert to fraction form
    10,354.98/14,289.42 = 5,639.30/x
  3. Step 3: Cross multiply
    10,354.98x = 14,289.42 × 5,639.30
  4. Step 4: Simplify right side
    10,354.98x = 80,582,326.21
  5. Step 5: Solve for x
    x = 80,582,326.21/10,354.98
  6. Step 6: Final answer
    x = 7,781.99

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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.