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Finding the Fourth Proportional to 7,778.15, 11,657.14 and 4,070.99

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Solution

The fourth proportional to 7,778.15, 11,657.14 and 4,070.99 is: 6,101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.15 : 11,657.14 = 4,070.99 : x
  2. Step 2: Convert to fraction form
    7,778.15/11,657.14 = 4,070.99/x
  3. Step 3: Cross multiply
    7,778.15x = 11,657.14 × 4,070.99
  4. Step 4: Simplify right side
    7,778.15x = 47,456,031.91
  5. Step 5: Solve for x
    x = 47,456,031.91/7,778.15
  6. Step 6: Final answer
    x = 6,101.20

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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.