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Finding the Fourth Proportional to 10,288.86, 15,416.01 and 6,402.78

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Solution

The fourth proportional to 10,288.86, 15,416.01 and 6,402.78 is: 9,593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.86 : 15,416.01 = 6,402.78 : x
  2. Step 2: Convert to fraction form
    10,288.86/15,416.01 = 6,402.78/x
  3. Step 3: Cross multiply
    10,288.86x = 15,416.01 × 6,402.78
  4. Step 4: Simplify right side
    10,288.86x = 98,705,320.51
  5. Step 5: Solve for x
    x = 98,705,320.51/10,288.86
  6. Step 6: Final answer
    x = 9,593.42

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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.