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Finding the Fourth Proportional to 10,295.36, 15,443.16 and 6,807.68

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Solution

The fourth proportional to 10,295.36, 15,443.16 and 6,807.68 is: 10,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.36 : 15,443.16 = 6,807.68 : x
  2. Step 2: Convert to fraction form
    10,295.36/15,443.16 = 6,807.68/x
  3. Step 3: Cross multiply
    10,295.36x = 15,443.16 × 6,807.68
  4. Step 4: Simplify right side
    10,295.36x = 105,132,091.47
  5. Step 5: Solve for x
    x = 105,132,091.47/10,295.36
  6. Step 6: Final answer
    x = 10,211.60

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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.