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Finding the Fourth Proportional to 10,309.26, 15,482.06 and 7,677.48

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Solution

The fourth proportional to 10,309.26, 15,482.06 and 7,677.48 is: 11,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.26 : 15,482.06 = 7,677.48 : x
  2. Step 2: Convert to fraction form
    10,309.26/15,482.06 = 7,677.48/x
  3. Step 3: Cross multiply
    10,309.26x = 15,482.06 × 7,677.48
  4. Step 4: Simplify right side
    10,309.26x = 118,863,206.01
  5. Step 5: Solve for x
    x = 118,863,206.01/10,309.26
  6. Step 6: Final answer
    x = 11,529.75

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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.