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Finding the Fourth Proportional to 10,095.56, 13,931.73 and 5,619.31

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Solution

The fourth proportional to 10,095.56, 13,931.73 and 5,619.31 is: 7,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.56 : 13,931.73 = 5,619.31 : x
  2. Step 2: Convert to fraction form
    10,095.56/13,931.73 = 5,619.31/x
  3. Step 3: Cross multiply
    10,095.56x = 13,931.73 × 5,619.31
  4. Step 4: Simplify right side
    10,095.56x = 78,286,709.71
  5. Step 5: Solve for x
    x = 78,286,709.71/10,095.56
  6. Step 6: Final answer
    x = 7,754.57

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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.