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Finding the Fourth Proportional to 12,176.46, 16,803.36 and 7,461

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Solution

The fourth proportional to 12,176.46, 16,803.36 and 7,461 is: 10,296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.46 : 16,803.36 = 7,461 : x
  2. Step 2: Convert to fraction form
    12,176.46/16,803.36 = 7,461/x
  3. Step 3: Cross multiply
    12,176.46x = 16,803.36 × 7,461
  4. Step 4: Simplify right side
    12,176.46x = 125,369,868.96
  5. Step 5: Solve for x
    x = 125,369,868.96/12,176.46
  6. Step 6: Final answer
    x = 10,296.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.