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Finding the Fourth Proportional to 10,442.34, 15,653.52 and 3,866.76

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Solution

The fourth proportional to 10,442.34, 15,653.52 and 3,866.76 is: 5,796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.34 : 15,653.52 = 3,866.76 : x
  2. Step 2: Convert to fraction form
    10,442.34/15,653.52 = 3,866.76/x
  3. Step 3: Cross multiply
    10,442.34x = 15,653.52 × 3,866.76
  4. Step 4: Simplify right side
    10,442.34x = 60,528,405.00
  5. Step 5: Solve for x
    x = 60,528,405.00/10,442.34
  6. Step 6: Final answer
    x = 5,796.44

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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.