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Finding the Fourth Proportional to 10,509.01, 15,763.52 and 2,611.51

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Solution

The fourth proportional to 10,509.01, 15,763.52 and 2,611.51 is: 3,917.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.01 : 15,763.52 = 2,611.51 : x
  2. Step 2: Convert to fraction form
    10,509.01/15,763.52 = 2,611.51/x
  3. Step 3: Cross multiply
    10,509.01x = 15,763.52 × 2,611.51
  4. Step 4: Simplify right side
    10,509.01x = 41,166,590.12
  5. Step 5: Solve for x
    x = 41,166,590.12/10,509.01
  6. Step 6: Final answer
    x = 3,917.27

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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.