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Finding the Fourth Proportional to 10,467, 15,700.68 and 3,541.68

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Solution

The fourth proportional to 10,467, 15,700.68 and 3,541.68 is: 5,312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467 : 15,700.68 = 3,541.68 : x
  2. Step 2: Convert to fraction form
    10,467/15,700.68 = 3,541.68/x
  3. Step 3: Cross multiply
    10,467x = 15,700.68 × 3,541.68
  4. Step 4: Simplify right side
    10,467x = 55,606,784.34
  5. Step 5: Solve for x
    x = 55,606,784.34/10,467
  6. Step 6: Final answer
    x = 5,312.58

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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.