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Finding the Fourth Proportional to 10,362.40, 15,513.12 and 6,845.92

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Solution

The fourth proportional to 10,362.40, 15,513.12 and 6,845.92 is: 10,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.40 : 15,513.12 = 6,845.92 : x
  2. Step 2: Convert to fraction form
    10,362.40/15,513.12 = 6,845.92/x
  3. Step 3: Cross multiply
    10,362.40x = 15,513.12 × 6,845.92
  4. Step 4: Simplify right side
    10,362.40x = 106,201,578.47
  5. Step 5: Solve for x
    x = 106,201,578.47/10,362.40
  6. Step 6: Final answer
    x = 10,248.74

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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.