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Finding the Fourth Proportional to 12,395.52, 18,594.08 and 5,470

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Solution

The fourth proportional to 12,395.52, 18,594.08 and 5,470 is: 8,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,395.52 : 18,594.08 = 5,470 : x
  2. Step 2: Convert to fraction form
    12,395.52/18,594.08 = 5,470/x
  3. Step 3: Cross multiply
    12,395.52x = 18,594.08 × 5,470
  4. Step 4: Simplify right side
    12,395.52x = 101,709,617.60
  5. Step 5: Solve for x
    x = 101,709,617.60/12,395.52
  6. Step 6: Final answer
    x = 8,205.35

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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.