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Finding the Fourth Proportional to 10,859.29, 16,283.71 and 4,615.91

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Solution

The fourth proportional to 10,859.29, 16,283.71 and 4,615.91 is: 6,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.29 : 16,283.71 = 4,615.91 : x
  2. Step 2: Convert to fraction form
    10,859.29/16,283.71 = 4,615.91/x
  3. Step 3: Cross multiply
    10,859.29x = 16,283.71 × 4,615.91
  4. Step 4: Simplify right side
    10,859.29x = 75,164,216.84
  5. Step 5: Solve for x
    x = 75,164,216.84/10,859.29
  6. Step 6: Final answer
    x = 6,921.65

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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.