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Finding the Fourth Proportional to 10,435.42, 14,401.24 and 5,719.66

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Solution

The fourth proportional to 10,435.42, 14,401.24 and 5,719.66 is: 7,893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.42 : 14,401.24 = 5,719.66 : x
  2. Step 2: Convert to fraction form
    10,435.42/14,401.24 = 5,719.66/x
  3. Step 3: Cross multiply
    10,435.42x = 14,401.24 × 5,719.66
  4. Step 4: Simplify right side
    10,435.42x = 82,370,196.38
  5. Step 5: Solve for x
    x = 82,370,196.38/10,435.42
  6. Step 6: Final answer
    x = 7,893.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.