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Finding the Fourth Proportional to 7,777.44, 11,670.64 and 4,658.40

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Solution

The fourth proportional to 7,777.44, 11,670.64 and 4,658.40 is: 6,990.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.44 : 11,670.64 = 4,658.40 : x
  2. Step 2: Convert to fraction form
    7,777.44/11,670.64 = 4,658.40/x
  3. Step 3: Cross multiply
    7,777.44x = 11,670.64 × 4,658.40
  4. Step 4: Simplify right side
    7,777.44x = 54,366,509.38
  5. Step 5: Solve for x
    x = 54,366,509.38/7,777.44
  6. Step 6: Final answer
    x = 6,990.28

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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.