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Finding the Fourth Proportional to 10,652.74, 15,977.04 and 4,077.37

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Solution

The fourth proportional to 10,652.74, 15,977.04 and 4,077.37 is: 6,115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.74 : 15,977.04 = 4,077.37 : x
  2. Step 2: Convert to fraction form
    10,652.74/15,977.04 = 4,077.37/x
  3. Step 3: Cross multiply
    10,652.74x = 15,977.04 × 4,077.37
  4. Step 4: Simplify right side
    10,652.74x = 65,144,303.58
  5. Step 5: Solve for x
    x = 65,144,303.58/10,652.74
  6. Step 6: Final answer
    x = 6,115.26

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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.