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Finding the Fourth Proportional to 7,645.55, 11,468.35 and 2,098.97

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Solution

The fourth proportional to 7,645.55, 11,468.35 and 2,098.97 is: 3,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.55 : 11,468.35 = 2,098.97 : x
  2. Step 2: Convert to fraction form
    7,645.55/11,468.35 = 2,098.97/x
  3. Step 3: Cross multiply
    7,645.55x = 11,468.35 × 2,098.97
  4. Step 4: Simplify right side
    7,645.55x = 24,071,746.02
  5. Step 5: Solve for x
    x = 24,071,746.02/7,645.55
  6. Step 6: Final answer
    x = 3,148.46

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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.