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Finding the Fourth Proportional to 10,525.08, 15,804 and 10,057.62

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Solution

The fourth proportional to 10,525.08, 15,804 and 10,057.62 is: 15,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.08 : 15,804 = 10,057.62 : x
  2. Step 2: Convert to fraction form
    10,525.08/15,804 = 10,057.62/x
  3. Step 3: Cross multiply
    10,525.08x = 15,804 × 10,057.62
  4. Step 4: Simplify right side
    10,525.08x = 158,950,626.48
  5. Step 5: Solve for x
    x = 158,950,626.48/10,525.08
  6. Step 6: Final answer
    x = 15,102.08

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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.