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Finding the Fourth Proportional to 10,801.47, 16,196.67 and 4,953

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Solution

The fourth proportional to 10,801.47, 16,196.67 and 4,953 is: 7,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.47 : 16,196.67 = 4,953 : x
  2. Step 2: Convert to fraction form
    10,801.47/16,196.67 = 4,953/x
  3. Step 3: Cross multiply
    10,801.47x = 16,196.67 × 4,953
  4. Step 4: Simplify right side
    10,801.47x = 80,222,106.51
  5. Step 5: Solve for x
    x = 80,222,106.51/10,801.47
  6. Step 6: Final answer
    x = 7,426.96

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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.