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Finding the Fourth Proportional to 6,751.53, 10,130.40 and 2,590.16

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Solution

The fourth proportional to 6,751.53, 10,130.40 and 2,590.16 is: 3,886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.53 : 10,130.40 = 2,590.16 : x
  2. Step 2: Convert to fraction form
    6,751.53/10,130.40 = 2,590.16/x
  3. Step 3: Cross multiply
    6,751.53x = 10,130.40 × 2,590.16
  4. Step 4: Simplify right side
    6,751.53x = 26,239,306.21
  5. Step 5: Solve for x
    x = 26,239,306.21/6,751.53
  6. Step 6: Final answer
    x = 3,886.42

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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.