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Finding the Fourth Proportional to 10,045.61, 15,069.77 and 4,200.84

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Solution

The fourth proportional to 10,045.61, 15,069.77 and 4,200.84 is: 6,301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.61 : 15,069.77 = 4,200.84 : x
  2. Step 2: Convert to fraction form
    10,045.61/15,069.77 = 4,200.84/x
  3. Step 3: Cross multiply
    10,045.61x = 15,069.77 × 4,200.84
  4. Step 4: Simplify right side
    10,045.61x = 63,305,671.60
  5. Step 5: Solve for x
    x = 63,305,671.60/10,045.61
  6. Step 6: Final answer
    x = 6,301.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.