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Finding the Fourth Proportional to 11,075.92, 16,603.02 and 4,498

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Solution

The fourth proportional to 11,075.92, 16,603.02 and 4,498 is: 6,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,075.92 : 16,603.02 = 4,498 : x
  2. Step 2: Convert to fraction form
    11,075.92/16,603.02 = 4,498/x
  3. Step 3: Cross multiply
    11,075.92x = 16,603.02 × 4,498
  4. Step 4: Simplify right side
    11,075.92x = 74,680,383.96
  5. Step 5: Solve for x
    x = 74,680,383.96/11,075.92
  6. Step 6: Final answer
    x = 6,742.59

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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.