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Finding the Fourth Proportional to 10,523.44, 14,523.36 and 7,866.16

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Solution

The fourth proportional to 10,523.44, 14,523.36 and 7,866.16 is: 10,856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.44 : 14,523.36 = 7,866.16 : x
  2. Step 2: Convert to fraction form
    10,523.44/14,523.36 = 7,866.16/x
  3. Step 3: Cross multiply
    10,523.44x = 14,523.36 × 7,866.16
  4. Step 4: Simplify right side
    10,523.44x = 114,243,073.50
  5. Step 5: Solve for x
    x = 114,243,073.50/10,523.44
  6. Step 6: Final answer
    x = 10,856.06

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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.