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Finding the Fourth Proportional to 8,297.28, 11,460.15 and 6,055.74

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Solution

The fourth proportional to 8,297.28, 11,460.15 and 6,055.74 is: 8,364.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.28 : 11,460.15 = 6,055.74 : x
  2. Step 2: Convert to fraction form
    8,297.28/11,460.15 = 6,055.74/x
  3. Step 3: Cross multiply
    8,297.28x = 11,460.15 × 6,055.74
  4. Step 4: Simplify right side
    8,297.28x = 69,399,688.76
  5. Step 5: Solve for x
    x = 69,399,688.76/8,297.28
  6. Step 6: Final answer
    x = 8,364.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.