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Finding the Fourth Proportional to 10,314.63, 15,462.54 and 3,739.32

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Solution

The fourth proportional to 10,314.63, 15,462.54 and 3,739.32 is: 5,605.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.63 : 15,462.54 = 3,739.32 : x
  2. Step 2: Convert to fraction form
    10,314.63/15,462.54 = 3,739.32/x
  3. Step 3: Cross multiply
    10,314.63x = 15,462.54 × 3,739.32
  4. Step 4: Simplify right side
    10,314.63x = 57,819,385.07
  5. Step 5: Solve for x
    x = 57,819,385.07/10,314.63
  6. Step 6: Final answer
    x = 5,605.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.