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Finding the Fourth Proportional to 7,777.01, 11,666.78 and 3,097.01

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Solution

The fourth proportional to 7,777.01, 11,666.78 and 3,097.01 is: 4,646.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.01 : 11,666.78 = 3,097.01 : x
  2. Step 2: Convert to fraction form
    7,777.01/11,666.78 = 3,097.01/x
  3. Step 3: Cross multiply
    7,777.01x = 11,666.78 × 3,097.01
  4. Step 4: Simplify right side
    7,777.01x = 36,132,060.51
  5. Step 5: Solve for x
    x = 36,132,060.51/7,777.01
  6. Step 6: Final answer
    x = 4,646.01

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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.