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Finding the Fourth Proportional to 7,710.42, 11,565.39 and 3,266.91

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Solution

The fourth proportional to 7,710.42, 11,565.39 and 3,266.91 is: 4,900.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.42 : 11,565.39 = 3,266.91 : x
  2. Step 2: Convert to fraction form
    7,710.42/11,565.39 = 3,266.91/x
  3. Step 3: Cross multiply
    7,710.42x = 11,565.39 × 3,266.91
  4. Step 4: Simplify right side
    7,710.42x = 37,783,088.24
  5. Step 5: Solve for x
    x = 37,783,088.24/7,710.42
  6. Step 6: Final answer
    x = 4,900.26

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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.