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Finding the Fourth Proportional to 10,209.84, 15,317.13 and 4,366.86

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Solution

The fourth proportional to 10,209.84, 15,317.13 and 4,366.86 is: 6,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.84 : 15,317.13 = 4,366.86 : x
  2. Step 2: Convert to fraction form
    10,209.84/15,317.13 = 4,366.86/x
  3. Step 3: Cross multiply
    10,209.84x = 15,317.13 × 4,366.86
  4. Step 4: Simplify right side
    10,209.84x = 66,887,762.31
  5. Step 5: Solve for x
    x = 66,887,762.31/10,209.84
  6. Step 6: Final answer
    x = 6,551.30

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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.