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Finding the Fourth Proportional to 10,434.96, 14,400.32 and 5,719.32

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Solution

The fourth proportional to 10,434.96, 14,400.32 and 5,719.32 is: 7,892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.96 : 14,400.32 = 5,719.32 : x
  2. Step 2: Convert to fraction form
    10,434.96/14,400.32 = 5,719.32/x
  3. Step 3: Cross multiply
    10,434.96x = 14,400.32 × 5,719.32
  4. Step 4: Simplify right side
    10,434.96x = 82,360,009.59
  5. Step 5: Solve for x
    x = 82,360,009.59/10,434.96
  6. Step 6: Final answer
    x = 7,892.70

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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.