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Finding the Fourth Proportional to 11,018, 16,527 and 10,464.32

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Solution

The fourth proportional to 11,018, 16,527 and 10,464.32 is: 15,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,018 : 16,527 = 10,464.32 : x
  2. Step 2: Convert to fraction form
    11,018/16,527 = 10,464.32/x
  3. Step 3: Cross multiply
    11,018x = 16,527 × 10,464.32
  4. Step 4: Simplify right side
    11,018x = 172,943,816.64
  5. Step 5: Solve for x
    x = 172,943,816.64/11,018
  6. Step 6: Final answer
    x = 15,696.48

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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.