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Finding the Fourth Proportional to 10,596.29, 15,894.43 and 4,020.91

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Solution

The fourth proportional to 10,596.29, 15,894.43 and 4,020.91 is: 6,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.29 : 15,894.43 = 4,020.91 : x
  2. Step 2: Convert to fraction form
    10,596.29/15,894.43 = 4,020.91/x
  3. Step 3: Cross multiply
    10,596.29x = 15,894.43 × 4,020.91
  4. Step 4: Simplify right side
    10,596.29x = 63,909,993.06
  5. Step 5: Solve for x
    x = 63,909,993.06/10,596.29
  6. Step 6: Final answer
    x = 6,031.36

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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.