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Finding the Fourth Proportional to 8,048.32, 11,106.72 and 4,511.68

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Solution

The fourth proportional to 8,048.32, 11,106.72 and 4,511.68 is: 6,226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.32 : 11,106.72 = 4,511.68 : x
  2. Step 2: Convert to fraction form
    8,048.32/11,106.72 = 4,511.68/x
  3. Step 3: Cross multiply
    8,048.32x = 11,106.72 × 4,511.68
  4. Step 4: Simplify right side
    8,048.32x = 50,109,966.49
  5. Step 5: Solve for x
    x = 50,109,966.49/8,048.32
  6. Step 6: Final answer
    x = 6,226.14

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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.