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Finding the Fourth Proportional to 11,477.97, 17,200.68 and 4,807.28

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Solution

The fourth proportional to 11,477.97, 17,200.68 and 4,807.28 is: 7,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.97 : 17,200.68 = 4,807.28 : x
  2. Step 2: Convert to fraction form
    11,477.97/17,200.68 = 4,807.28/x
  3. Step 3: Cross multiply
    11,477.97x = 17,200.68 × 4,807.28
  4. Step 4: Simplify right side
    11,477.97x = 82,688,484.95
  5. Step 5: Solve for x
    x = 82,688,484.95/11,477.97
  6. Step 6: Final answer
    x = 7,204.10

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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.