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Finding the Fourth Proportional to 10,202.61, 15,302.39 and 4,864.44

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Solution

The fourth proportional to 10,202.61, 15,302.39 and 4,864.44 is: 7,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.61 : 15,302.39 = 4,864.44 : x
  2. Step 2: Convert to fraction form
    10,202.61/15,302.39 = 4,864.44/x
  3. Step 3: Cross multiply
    10,202.61x = 15,302.39 × 4,864.44
  4. Step 4: Simplify right side
    10,202.61x = 74,437,533.69
  5. Step 5: Solve for x
    x = 74,437,533.69/10,202.61
  6. Step 6: Final answer
    x = 7,295.93

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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.