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Finding the Fourth Proportional to 10,434.76, 14,399.98 and 5,718.94

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Solution

The fourth proportional to 10,434.76, 14,399.98 and 5,718.94 is: 7,892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.76 : 14,399.98 = 5,718.94 : x
  2. Step 2: Convert to fraction form
    10,434.76/14,399.98 = 5,718.94/x
  3. Step 3: Cross multiply
    10,434.76x = 14,399.98 × 5,718.94
  4. Step 4: Simplify right side
    10,434.76x = 82,352,621.62
  5. Step 5: Solve for x
    x = 82,352,621.62/10,434.76
  6. Step 6: Final answer
    x = 7,892.14

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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.