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Finding the Fourth Proportional to 7,653.84, 11,480.35 and 2,459.71

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Solution

The fourth proportional to 7,653.84, 11,480.35 and 2,459.71 is: 3,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653.84 : 11,480.35 = 2,459.71 : x
  2. Step 2: Convert to fraction form
    7,653.84/11,480.35 = 2,459.71/x
  3. Step 3: Cross multiply
    7,653.84x = 11,480.35 × 2,459.71
  4. Step 4: Simplify right side
    7,653.84x = 28,238,331.70
  5. Step 5: Solve for x
    x = 28,238,331.70/7,653.84
  6. Step 6: Final answer
    x = 3,689.43

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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.