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Finding the Fourth Proportional to 10,464.28, 14,423.36 and 10,187.28

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Solution

The fourth proportional to 10,464.28, 14,423.36 and 10,187.28 is: 14,041.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.28 : 14,423.36 = 10,187.28 : x
  2. Step 2: Convert to fraction form
    10,464.28/14,423.36 = 10,187.28/x
  3. Step 3: Cross multiply
    10,464.28x = 14,423.36 × 10,187.28
  4. Step 4: Simplify right side
    10,464.28x = 146,934,806.86
  5. Step 5: Solve for x
    x = 146,934,806.86/10,464.28
  6. Step 6: Final answer
    x = 14,041.56

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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.