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Finding the Fourth Proportional to 10,477, 15,715.68 and 3,551.68

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Solution

The fourth proportional to 10,477, 15,715.68 and 3,551.68 is: 5,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477 : 15,715.68 = 3,551.68 : x
  2. Step 2: Convert to fraction form
    10,477/15,715.68 = 3,551.68/x
  3. Step 3: Cross multiply
    10,477x = 15,715.68 × 3,551.68
  4. Step 4: Simplify right side
    10,477x = 55,817,066.34
  5. Step 5: Solve for x
    x = 55,817,066.34/10,477
  6. Step 6: Final answer
    x = 5,327.58

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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.