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Finding the Fourth Proportional to 7,777.42, 11,666.04 and 4,658.30

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Solution

The fourth proportional to 7,777.42, 11,666.04 and 4,658.30 is: 6,987.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.42 : 11,666.04 = 4,658.30 : x
  2. Step 2: Convert to fraction form
    7,777.42/11,666.04 = 4,658.30/x
  3. Step 3: Cross multiply
    7,777.42x = 11,666.04 × 4,658.30
  4. Step 4: Simplify right side
    7,777.42x = 54,343,914.13
  5. Step 5: Solve for x
    x = 54,343,914.13/7,777.42
  6. Step 6: Final answer
    x = 6,987.40

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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.