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Finding the Fourth Proportional to 8,356.34, 12,530.76 and 2,513.40

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Solution

The fourth proportional to 8,356.34, 12,530.76 and 2,513.40 is: 3,768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.34 : 12,530.76 = 2,513.40 : x
  2. Step 2: Convert to fraction form
    8,356.34/12,530.76 = 2,513.40/x
  3. Step 3: Cross multiply
    8,356.34x = 12,530.76 × 2,513.40
  4. Step 4: Simplify right side
    8,356.34x = 31,494,812.18
  5. Step 5: Solve for x
    x = 31,494,812.18/8,356.34
  6. Step 6: Final answer
    x = 3,768.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.