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Finding the Fourth Proportional to 10,292.88, 14,205.60 and 7,636.08

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Solution

The fourth proportional to 10,292.88, 14,205.60 and 7,636.08 is: 10,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.88 : 14,205.60 = 7,636.08 : x
  2. Step 2: Convert to fraction form
    10,292.88/14,205.60 = 7,636.08/x
  3. Step 3: Cross multiply
    10,292.88x = 14,205.60 × 7,636.08
  4. Step 4: Simplify right side
    10,292.88x = 108,475,098.05
  5. Step 5: Solve for x
    x = 108,475,098.05/10,292.88
  6. Step 6: Final answer
    x = 10,538.85

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