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Finding the Fourth Proportional to 10,564.01, 15,814.44 and 6,391.40

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Solution

The fourth proportional to 10,564.01, 15,814.44 and 6,391.40 is: 9,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.01 : 15,814.44 = 6,391.40 : x
  2. Step 2: Convert to fraction form
    10,564.01/15,814.44 = 6,391.40/x
  3. Step 3: Cross multiply
    10,564.01x = 15,814.44 × 6,391.40
  4. Step 4: Simplify right side
    10,564.01x = 101,076,451.35
  5. Step 5: Solve for x
    x = 101,076,451.35/10,564.01
  6. Step 6: Final answer
    x = 9,568.00

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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.