Home / 7,826.10-11,737.10-2,277.96

Finding the Fourth Proportional to 7,826.10, 11,737.10 and 2,277.96

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Solution

The fourth proportional to 7,826.10, 11,737.10 and 2,277.96 is: 3,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.10 : 11,737.10 = 2,277.96 : x
  2. Step 2: Convert to fraction form
    7,826.10/11,737.10 = 2,277.96/x
  3. Step 3: Cross multiply
    7,826.10x = 11,737.10 × 2,277.96
  4. Step 4: Simplify right side
    7,826.10x = 26,736,644.32
  5. Step 5: Solve for x
    x = 26,736,644.32/7,826.10
  6. Step 6: Final answer
    x = 3,416.34

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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.