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Finding the Fourth Proportional to 10,336.98, 15,506.50 and 3,315.24

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Solution

The fourth proportional to 10,336.98, 15,506.50 and 3,315.24 is: 4,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,336.98 : 15,506.50 = 3,315.24 : x
  2. Step 2: Convert to fraction form
    10,336.98/15,506.50 = 3,315.24/x
  3. Step 3: Cross multiply
    10,336.98x = 15,506.50 × 3,315.24
  4. Step 4: Simplify right side
    10,336.98x = 51,407,769.06
  5. Step 5: Solve for x
    x = 51,407,769.06/10,336.98
  6. Step 6: Final answer
    x = 4,973.19

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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.