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Finding the Fourth Proportional to 10,746, 14,824.44 and 7,603.92

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Solution

The fourth proportional to 10,746, 14,824.44 and 7,603.92 is: 10,489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746 : 14,824.44 = 7,603.92 : x
  2. Step 2: Convert to fraction form
    10,746/14,824.44 = 7,603.92/x
  3. Step 3: Cross multiply
    10,746x = 14,824.44 × 7,603.92
  4. Step 4: Simplify right side
    10,746x = 112,723,855.80
  5. Step 5: Solve for x
    x = 112,723,855.80/10,746
  6. Step 6: Final answer
    x = 10,489.84

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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.