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Finding the Fourth Proportional to 10,585.99, 15,881.27 and 4,012.23

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Solution

The fourth proportional to 10,585.99, 15,881.27 and 4,012.23 is: 6,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.99 : 15,881.27 = 4,012.23 : x
  2. Step 2: Convert to fraction form
    10,585.99/15,881.27 = 4,012.23/x
  3. Step 3: Cross multiply
    10,585.99x = 15,881.27 × 4,012.23
  4. Step 4: Simplify right side
    10,585.99x = 63,719,347.43
  5. Step 5: Solve for x
    x = 63,719,347.43/10,585.99
  6. Step 6: Final answer
    x = 6,019.21

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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.