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Finding the Fourth Proportional to 10,556.51, 15,830.31 and 3,162.02

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Solution

The fourth proportional to 10,556.51, 15,830.31 and 3,162.02 is: 4,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.51 : 15,830.31 = 3,162.02 : x
  2. Step 2: Convert to fraction form
    10,556.51/15,830.31 = 3,162.02/x
  3. Step 3: Cross multiply
    10,556.51x = 15,830.31 × 3,162.02
  4. Step 4: Simplify right side
    10,556.51x = 50,055,756.83
  5. Step 5: Solve for x
    x = 50,055,756.83/10,556.51
  6. Step 6: Final answer
    x = 4,741.70

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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.