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Finding the Fourth Proportional to 10,295.78, 15,431.25 and 4,741.52

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Solution

The fourth proportional to 10,295.78, 15,431.25 and 4,741.52 is: 7,106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.78 : 15,431.25 = 4,741.52 : x
  2. Step 2: Convert to fraction form
    10,295.78/15,431.25 = 4,741.52/x
  3. Step 3: Cross multiply
    10,295.78x = 15,431.25 × 4,741.52
  4. Step 4: Simplify right side
    10,295.78x = 73,167,580.50
  5. Step 5: Solve for x
    x = 73,167,580.50/10,295.78
  6. Step 6: Final answer
    x = 7,106.56

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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.