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Finding the Fourth Proportional to 10,433.63, 15,656.59 and 3,864.43

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Solution

The fourth proportional to 10,433.63, 15,656.59 and 3,864.43 is: 5,798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.63 : 15,656.59 = 3,864.43 : x
  2. Step 2: Convert to fraction form
    10,433.63/15,656.59 = 3,864.43/x
  3. Step 3: Cross multiply
    10,433.63x = 15,656.59 × 3,864.43
  4. Step 4: Simplify right side
    10,433.63x = 60,503,717.81
  5. Step 5: Solve for x
    x = 60,503,717.81/10,433.63
  6. Step 6: Final answer
    x = 5,798.92

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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.