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Finding the Fourth Proportional to 11,299.04, 16,950.64 and 3,506

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Solution

The fourth proportional to 11,299.04, 16,950.64 and 3,506 is: 5,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,299.04 : 16,950.64 = 3,506 : x
  2. Step 2: Convert to fraction form
    11,299.04/16,950.64 = 3,506/x
  3. Step 3: Cross multiply
    11,299.04x = 16,950.64 × 3,506
  4. Step 4: Simplify right side
    11,299.04x = 59,428,943.84
  5. Step 5: Solve for x
    x = 59,428,943.84/11,299.04
  6. Step 6: Final answer
    x = 5,259.65

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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.