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Finding the Fourth Proportional to 7,714.58, 10,646.16 and 4,177.80

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Solution

The fourth proportional to 7,714.58, 10,646.16 and 4,177.80 is: 5,765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.58 : 10,646.16 = 4,177.80 : x
  2. Step 2: Convert to fraction form
    7,714.58/10,646.16 = 4,177.80/x
  3. Step 3: Cross multiply
    7,714.58x = 10,646.16 × 4,177.80
  4. Step 4: Simplify right side
    7,714.58x = 44,477,506.36
  5. Step 5: Solve for x
    x = 44,477,506.36/7,714.58
  6. Step 6: Final answer
    x = 5,765.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.