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Finding the Fourth Proportional to 10,434.72, 14,400.16 and 5,719.26

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Solution

The fourth proportional to 10,434.72, 14,400.16 and 5,719.26 is: 7,892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.72 : 14,400.16 = 5,719.26 : x
  2. Step 2: Convert to fraction form
    10,434.72/14,400.16 = 5,719.26/x
  3. Step 3: Cross multiply
    10,434.72x = 14,400.16 × 5,719.26
  4. Step 4: Simplify right side
    10,434.72x = 82,358,259.08
  5. Step 5: Solve for x
    x = 82,358,259.08/10,434.72
  6. Step 6: Final answer
    x = 7,892.71

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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.