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Finding the Fourth Proportional to 10,435.99, 14,401.15 and 5,898.58

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Solution

The fourth proportional to 10,435.99, 14,401.15 and 5,898.58 is: 8,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.99 : 14,401.15 = 5,898.58 : x
  2. Step 2: Convert to fraction form
    10,435.99/14,401.15 = 5,898.58/x
  3. Step 3: Cross multiply
    10,435.99x = 14,401.15 × 5,898.58
  4. Step 4: Simplify right side
    10,435.99x = 84,946,335.37
  5. Step 5: Solve for x
    x = 84,946,335.37/10,435.99
  6. Step 6: Final answer
    x = 8,139.75

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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.