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Finding the Fourth Proportional to 10,338.33, 15,498.29 and 4,784.05

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Solution

The fourth proportional to 10,338.33, 15,498.29 and 4,784.05 is: 7,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.33 : 15,498.29 = 4,784.05 : x
  2. Step 2: Convert to fraction form
    10,338.33/15,498.29 = 4,784.05/x
  3. Step 3: Cross multiply
    10,338.33x = 15,498.29 × 4,784.05
  4. Step 4: Simplify right side
    10,338.33x = 74,144,511.52
  5. Step 5: Solve for x
    x = 74,144,511.52/10,338.33
  6. Step 6: Final answer
    x = 7,171.80

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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.