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Finding the Fourth Proportional to 10,966.03, 16,462.64 and 7,291.87

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Solution

The fourth proportional to 10,966.03, 16,462.64 and 7,291.87 is: 10,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.03 : 16,462.64 = 7,291.87 : x
  2. Step 2: Convert to fraction form
    10,966.03/16,462.64 = 7,291.87/x
  3. Step 3: Cross multiply
    10,966.03x = 16,462.64 × 7,291.87
  4. Step 4: Simplify right side
    10,966.03x = 120,043,407.81
  5. Step 5: Solve for x
    x = 120,043,407.81/10,966.03
  6. Step 6: Final answer
    x = 10,946.85

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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.