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Finding the Fourth Proportional to 7,683.84, 11,527 and 2,488.48

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Solution

The fourth proportional to 7,683.84, 11,527 and 2,488.48 is: 3,733.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.84 : 11,527 = 2,488.48 : x
  2. Step 2: Convert to fraction form
    7,683.84/11,527 = 2,488.48/x
  3. Step 3: Cross multiply
    7,683.84x = 11,527 × 2,488.48
  4. Step 4: Simplify right side
    7,683.84x = 28,684,708.96
  5. Step 5: Solve for x
    x = 28,684,708.96/7,683.84
  6. Step 6: Final answer
    x = 3,733.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.