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Finding the Fourth Proportional to 7,643.85, 11,465.91 and 2,710.95

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Solution

The fourth proportional to 7,643.85, 11,465.91 and 2,710.95 is: 4,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.85 : 11,465.91 = 2,710.95 : x
  2. Step 2: Convert to fraction form
    7,643.85/11,465.91 = 2,710.95/x
  3. Step 3: Cross multiply
    7,643.85x = 11,465.91 × 2,710.95
  4. Step 4: Simplify right side
    7,643.85x = 31,083,508.71
  5. Step 5: Solve for x
    x = 31,083,508.71/7,643.85
  6. Step 6: Final answer
    x = 4,066.47

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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.