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Finding the Fourth Proportional to 12,688.90, 17,509.50 and 7,583.40

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Solution

The fourth proportional to 12,688.90, 17,509.50 and 7,583.40 is: 10,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.90 : 17,509.50 = 7,583.40 : x
  2. Step 2: Convert to fraction form
    12,688.90/17,509.50 = 7,583.40/x
  3. Step 3: Cross multiply
    12,688.90x = 17,509.50 × 7,583.40
  4. Step 4: Simplify right side
    12,688.90x = 132,781,542.30
  5. Step 5: Solve for x
    x = 132,781,542.30/12,688.90
  6. Step 6: Final answer
    x = 10,464.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.