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Finding the Fourth Proportional to 10,444.64, 15,666.90 and 2,653.44

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Solution

The fourth proportional to 10,444.64, 15,666.90 and 2,653.44 is: 3,980.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.64 : 15,666.90 = 2,653.44 : x
  2. Step 2: Convert to fraction form
    10,444.64/15,666.90 = 2,653.44/x
  3. Step 3: Cross multiply
    10,444.64x = 15,666.90 × 2,653.44
  4. Step 4: Simplify right side
    10,444.64x = 41,571,179.14
  5. Step 5: Solve for x
    x = 41,571,179.14/10,444.64
  6. Step 6: Final answer
    x = 3,980.15

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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.