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Finding the Fourth Proportional to 7,686.34, 11,514.93 and 4,559.74

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Solution

The fourth proportional to 7,686.34, 11,514.93 and 4,559.74 is: 6,830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.34 : 11,514.93 = 4,559.74 : x
  2. Step 2: Convert to fraction form
    7,686.34/11,514.93 = 4,559.74/x
  3. Step 3: Cross multiply
    7,686.34x = 11,514.93 × 4,559.74
  4. Step 4: Simplify right side
    7,686.34x = 52,505,131.45
  5. Step 5: Solve for x
    x = 52,505,131.45/7,686.34
  6. Step 6: Final answer
    x = 6,830.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.