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Finding the Fourth Proportional to 7,814.56, 11,710.32 and 6,992.80

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Solution

The fourth proportional to 7,814.56, 11,710.32 and 6,992.80 is: 10,478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.56 : 11,710.32 = 6,992.80 : x
  2. Step 2: Convert to fraction form
    7,814.56/11,710.32 = 6,992.80/x
  3. Step 3: Cross multiply
    7,814.56x = 11,710.32 × 6,992.80
  4. Step 4: Simplify right side
    7,814.56x = 81,887,925.70
  5. Step 5: Solve for x
    x = 81,887,925.70/7,814.56
  6. Step 6: Final answer
    x = 10,478.89

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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.