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Finding the Fourth Proportional to 10,549.28, 14,559 and 6,300.30

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Solution

The fourth proportional to 10,549.28, 14,559 and 6,300.30 is: 8,695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.28 : 14,559 = 6,300.30 : x
  2. Step 2: Convert to fraction form
    10,549.28/14,559 = 6,300.30/x
  3. Step 3: Cross multiply
    10,549.28x = 14,559 × 6,300.30
  4. Step 4: Simplify right side
    10,549.28x = 91,726,067.70
  5. Step 5: Solve for x
    x = 91,726,067.70/10,549.28
  6. Step 6: Final answer
    x = 8,695.01

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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.