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Finding the Fourth Proportional to 10,358.18, 14,289.99 and 5,878.25

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Solution

The fourth proportional to 10,358.18, 14,289.99 and 5,878.25 is: 8,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.18 : 14,289.99 = 5,878.25 : x
  2. Step 2: Convert to fraction form
    10,358.18/14,289.99 = 5,878.25/x
  3. Step 3: Cross multiply
    10,358.18x = 14,289.99 × 5,878.25
  4. Step 4: Simplify right side
    10,358.18x = 84,000,103.22
  5. Step 5: Solve for x
    x = 84,000,103.22/10,358.18
  6. Step 6: Final answer
    x = 8,109.54

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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.