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Finding the Fourth Proportional to 10,852.56, 16,285.32 and 7,559.10

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Solution

The fourth proportional to 10,852.56, 16,285.32 and 7,559.10 is: 11,343.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.56 : 16,285.32 = 7,559.10 : x
  2. Step 2: Convert to fraction form
    10,852.56/16,285.32 = 7,559.10/x
  3. Step 3: Cross multiply
    10,852.56x = 16,285.32 × 7,559.10
  4. Step 4: Simplify right side
    10,852.56x = 123,102,362.41
  5. Step 5: Solve for x
    x = 123,102,362.41/10,852.56
  6. Step 6: Final answer
    x = 11,343.16

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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.