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Finding the Fourth Proportional to 8,714.76, 13,071.93 and 2,140.93

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Solution

The fourth proportional to 8,714.76, 13,071.93 and 2,140.93 is: 3,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.76 : 13,071.93 = 2,140.93 : x
  2. Step 2: Convert to fraction form
    8,714.76/13,071.93 = 2,140.93/x
  3. Step 3: Cross multiply
    8,714.76x = 13,071.93 × 2,140.93
  4. Step 4: Simplify right side
    8,714.76x = 27,986,087.09
  5. Step 5: Solve for x
    x = 27,986,087.09/8,714.76
  6. Step 6: Final answer
    x = 3,211.35

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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.