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Finding the Fourth Proportional to 10,268.34, 15,402.94 and 5,007.70

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Solution

The fourth proportional to 10,268.34, 15,402.94 and 5,007.70 is: 7,511.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,268.34 : 15,402.94 = 5,007.70 : x
  2. Step 2: Convert to fraction form
    10,268.34/15,402.94 = 5,007.70/x
  3. Step 3: Cross multiply
    10,268.34x = 15,402.94 × 5,007.70
  4. Step 4: Simplify right side
    10,268.34x = 77,133,302.64
  5. Step 5: Solve for x
    x = 77,133,302.64/10,268.34
  6. Step 6: Final answer
    x = 7,511.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.