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Finding the Fourth Proportional to 11,710.20, 17,565.24 and 6,776.64

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Solution

The fourth proportional to 11,710.20, 17,565.24 and 6,776.64 is: 10,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.20 : 17,565.24 = 6,776.64 : x
  2. Step 2: Convert to fraction form
    11,710.20/17,565.24 = 6,776.64/x
  3. Step 3: Cross multiply
    11,710.20x = 17,565.24 × 6,776.64
  4. Step 4: Simplify right side
    11,710.20x = 119,033,307.99
  5. Step 5: Solve for x
    x = 119,033,307.99/11,710.20
  6. Step 6: Final answer
    x = 10,164.93

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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.