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Finding the Fourth Proportional to 10,285.32, 15,406.44 and 8,526.15

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Solution

The fourth proportional to 10,285.32, 15,406.44 and 8,526.15 is: 12,771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.32 : 15,406.44 = 8,526.15 : x
  2. Step 2: Convert to fraction form
    10,285.32/15,406.44 = 8,526.15/x
  3. Step 3: Cross multiply
    10,285.32x = 15,406.44 × 8,526.15
  4. Step 4: Simplify right side
    10,285.32x = 131,357,618.41
  5. Step 5: Solve for x
    x = 131,357,618.41/10,285.32
  6. Step 6: Final answer
    x = 12,771.37

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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.