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Finding the Fourth Proportional to 10,446.09, 15,659.15 and 3,870.51

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Solution

The fourth proportional to 10,446.09, 15,659.15 and 3,870.51 is: 5,802.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.09 : 15,659.15 = 3,870.51 : x
  2. Step 2: Convert to fraction form
    10,446.09/15,659.15 = 3,870.51/x
  3. Step 3: Cross multiply
    10,446.09x = 15,659.15 × 3,870.51
  4. Step 4: Simplify right side
    10,446.09x = 60,608,877.31
  5. Step 5: Solve for x
    x = 60,608,877.31/10,446.09
  6. Step 6: Final answer
    x = 5,802.06

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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.