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Finding the Fourth Proportional to 10,340.34, 15,502.94 and 3,316.35

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Solution

The fourth proportional to 10,340.34, 15,502.94 and 3,316.35 is: 4,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.34 : 15,502.94 = 3,316.35 : x
  2. Step 2: Convert to fraction form
    10,340.34/15,502.94 = 3,316.35/x
  3. Step 3: Cross multiply
    10,340.34x = 15,502.94 × 3,316.35
  4. Step 4: Simplify right side
    10,340.34x = 51,413,175.07
  5. Step 5: Solve for x
    x = 51,413,175.07/10,340.34
  6. Step 6: Final answer
    x = 4,972.10

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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.