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Finding the Fourth Proportional to 6,177.30, 8,514.77 and 4,848.77

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Solution

The fourth proportional to 6,177.30, 8,514.77 and 4,848.77 is: 6,683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.30 : 8,514.77 = 4,848.77 : x
  2. Step 2: Convert to fraction form
    6,177.30/8,514.77 = 4,848.77/x
  3. Step 3: Cross multiply
    6,177.30x = 8,514.77 × 4,848.77
  4. Step 4: Simplify right side
    6,177.30x = 41,286,094.52
  5. Step 5: Solve for x
    x = 41,286,094.52/6,177.30
  6. Step 6: Final answer
    x = 6,683.52

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