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Finding the Fourth Proportional to 10,336.74, 15,506.13 and 3,314.99

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Solution

The fourth proportional to 10,336.74, 15,506.13 and 3,314.99 is: 4,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,336.74 : 15,506.13 = 3,314.99 : x
  2. Step 2: Convert to fraction form
    10,336.74/15,506.13 = 3,314.99/x
  3. Step 3: Cross multiply
    10,336.74x = 15,506.13 × 3,314.99
  4. Step 4: Simplify right side
    10,336.74x = 51,402,588.36
  5. Step 5: Solve for x
    x = 51,402,588.36/10,336.74
  6. Step 6: Final answer
    x = 4,972.80

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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.