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Finding the Fourth Proportional to 11,526.60, 17,283.71 and 3,627.63

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Solution

The fourth proportional to 11,526.60, 17,283.71 and 3,627.63 is: 5,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,526.60 : 17,283.71 = 3,627.63 : x
  2. Step 2: Convert to fraction form
    11,526.60/17,283.71 = 3,627.63/x
  3. Step 3: Cross multiply
    11,526.60x = 17,283.71 × 3,627.63
  4. Step 4: Simplify right side
    11,526.60x = 62,698,929.98
  5. Step 5: Solve for x
    x = 62,698,929.98/11,526.60
  6. Step 6: Final answer
    x = 5,439.50

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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.