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Finding the Fourth Proportional to 10,435.96, 14,401.77 and 5,719.93

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Solution

The fourth proportional to 10,435.96, 14,401.77 and 5,719.93 is: 7,893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.96 : 14,401.77 = 5,719.93 : x
  2. Step 2: Convert to fraction form
    10,435.96/14,401.77 = 5,719.93/x
  3. Step 3: Cross multiply
    10,435.96x = 14,401.77 × 5,719.93
  4. Step 4: Simplify right side
    10,435.96x = 82,377,116.28
  5. Step 5: Solve for x
    x = 82,377,116.28/10,435.96
  6. Step 6: Final answer
    x = 7,893.58

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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.