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Finding the Fourth Proportional to 10,434.80, 14,400.71 and 5,719.08

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Solution

The fourth proportional to 10,434.80, 14,400.71 and 5,719.08 is: 7,892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.80 : 14,400.71 = 5,719.08 : x
  2. Step 2: Convert to fraction form
    10,434.80/14,400.71 = 5,719.08/x
  3. Step 3: Cross multiply
    10,434.80x = 14,400.71 × 5,719.08
  4. Step 4: Simplify right side
    10,434.80x = 82,358,783.95
  5. Step 5: Solve for x
    x = 82,358,783.95/10,434.80
  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.