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Finding the Fourth Proportional to 10,340.06, 15,509.73 and 4,496.68

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Solution

The fourth proportional to 10,340.06, 15,509.73 and 4,496.68 is: 6,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.06 : 15,509.73 = 4,496.68 : x
  2. Step 2: Convert to fraction form
    10,340.06/15,509.73 = 4,496.68/x
  3. Step 3: Cross multiply
    10,340.06x = 15,509.73 × 4,496.68
  4. Step 4: Simplify right side
    10,340.06x = 69,742,292.70
  5. Step 5: Solve for x
    x = 69,742,292.70/10,340.06
  6. Step 6: Final answer
    x = 6,744.86

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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.