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Finding the Fourth Proportional to 10,525.57, 15,810.23 and 8,349.51

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Solution

The fourth proportional to 10,525.57, 15,810.23 and 8,349.51 is: 12,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.57 : 15,810.23 = 8,349.51 : x
  2. Step 2: Convert to fraction form
    10,525.57/15,810.23 = 8,349.51/x
  3. Step 3: Cross multiply
    10,525.57x = 15,810.23 × 8,349.51
  4. Step 4: Simplify right side
    10,525.57x = 132,007,673.49
  5. Step 5: Solve for x
    x = 132,007,673.49/10,525.57
  6. Step 6: Final answer
    x = 12,541.62

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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.