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Finding the Fourth Proportional to 10,549.40, 15,836.04 and 6,656

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Solution

The fourth proportional to 10,549.40, 15,836.04 and 6,656 is: 9,991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.40 : 15,836.04 = 6,656 : x
  2. Step 2: Convert to fraction form
    10,549.40/15,836.04 = 6,656/x
  3. Step 3: Cross multiply
    10,549.40x = 15,836.04 × 6,656
  4. Step 4: Simplify right side
    10,549.40x = 105,404,682.24
  5. Step 5: Solve for x
    x = 105,404,682.24/10,549.40
  6. Step 6: Final answer
    x = 9,991.53

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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.