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Finding the Fourth Proportional to 7,710.14, 11,565.23 and 1,866.74

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Solution

The fourth proportional to 7,710.14, 11,565.23 and 1,866.74 is: 2,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.14 : 11,565.23 = 1,866.74 : x
  2. Step 2: Convert to fraction form
    7,710.14/11,565.23 = 1,866.74/x
  3. Step 3: Cross multiply
    7,710.14x = 11,565.23 × 1,866.74
  4. Step 4: Simplify right side
    7,710.14x = 21,589,224.29
  5. Step 5: Solve for x
    x = 21,589,224.29/7,710.14
  6. Step 6: Final answer
    x = 2,800.11

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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.