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Finding the Fourth Proportional to 7,777.09, 11,666.24 and 3,830.47

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Solution

The fourth proportional to 7,777.09, 11,666.24 and 3,830.47 is: 5,746.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.09 : 11,666.24 = 3,830.47 : x
  2. Step 2: Convert to fraction form
    7,777.09/11,666.24 = 3,830.47/x
  3. Step 3: Cross multiply
    7,777.09x = 11,666.24 × 3,830.47
  4. Step 4: Simplify right side
    7,777.09x = 44,687,162.74
  5. Step 5: Solve for x
    x = 44,687,162.74/7,777.09
  6. Step 6: Final answer
    x = 5,746.00

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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.