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Finding the Fourth Proportional to 10,925.82, 16,375.05 and 4,678.47

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Solution

The fourth proportional to 10,925.82, 16,375.05 and 4,678.47 is: 7,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,925.82 : 16,375.05 = 4,678.47 : x
  2. Step 2: Convert to fraction form
    10,925.82/16,375.05 = 4,678.47/x
  3. Step 3: Cross multiply
    10,925.82x = 16,375.05 × 4,678.47
  4. Step 4: Simplify right side
    10,925.82x = 76,610,180.17
  5. Step 5: Solve for x
    x = 76,610,180.17/10,925.82
  6. Step 6: Final answer
    x = 7,011.85

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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.