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Finding the Fourth Proportional to 10,570.30, 15,859.13 and 6,617.03

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Solution

The fourth proportional to 10,570.30, 15,859.13 and 6,617.03 is: 9,927.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.30 : 15,859.13 = 6,617.03 : x
  2. Step 2: Convert to fraction form
    10,570.30/15,859.13 = 6,617.03/x
  3. Step 3: Cross multiply
    10,570.30x = 15,859.13 × 6,617.03
  4. Step 4: Simplify right side
    10,570.30x = 104,940,226.60
  5. Step 5: Solve for x
    x = 104,940,226.60/10,570.30
  6. Step 6: Final answer
    x = 9,927.84

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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.