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Finding the Fourth Proportional to 10,341.84, 15,513.05 and 3,772.93

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Solution

The fourth proportional to 10,341.84, 15,513.05 and 3,772.93 is: 5,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341.84 : 15,513.05 = 3,772.93 : x
  2. Step 2: Convert to fraction form
    10,341.84/15,513.05 = 3,772.93/x
  3. Step 3: Cross multiply
    10,341.84x = 15,513.05 × 3,772.93
  4. Step 4: Simplify right side
    10,341.84x = 58,529,651.74
  5. Step 5: Solve for x
    x = 58,529,651.74/10,341.84
  6. Step 6: Final answer
    x = 5,659.50

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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.