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Finding the Fourth Proportional to 7,739.76, 10,656.59 and 6,830.34

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Solution

The fourth proportional to 7,739.76, 10,656.59 and 6,830.34 is: 9,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.76 : 10,656.59 = 6,830.34 : x
  2. Step 2: Convert to fraction form
    7,739.76/10,656.59 = 6,830.34/x
  3. Step 3: Cross multiply
    7,739.76x = 10,656.59 × 6,830.34
  4. Step 4: Simplify right side
    7,739.76x = 72,788,132.94
  5. Step 5: Solve for x
    x = 72,788,132.94/7,739.76
  6. Step 6: Final answer
    x = 9,404.44

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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.