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Finding the Fourth Proportional to 10,315.56, 14,238.73 and 6,589.56

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Solution

The fourth proportional to 10,315.56, 14,238.73 and 6,589.56 is: 9,095.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.56 : 14,238.73 = 6,589.56 : x
  2. Step 2: Convert to fraction form
    10,315.56/14,238.73 = 6,589.56/x
  3. Step 3: Cross multiply
    10,315.56x = 14,238.73 × 6,589.56
  4. Step 4: Simplify right side
    10,315.56x = 93,826,965.66
  5. Step 5: Solve for x
    x = 93,826,965.66/10,315.56
  6. Step 6: Final answer
    x = 9,095.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.