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Finding the Fourth Proportional to 11,264.52, 15,545 and 6,296.52

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Solution

The fourth proportional to 11,264.52, 15,545 and 6,296.52 is: 8,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.52 : 15,545 = 6,296.52 : x
  2. Step 2: Convert to fraction form
    11,264.52/15,545 = 6,296.52/x
  3. Step 3: Cross multiply
    11,264.52x = 15,545 × 6,296.52
  4. Step 4: Simplify right side
    11,264.52x = 97,879,403.40
  5. Step 5: Solve for x
    x = 97,879,403.40/11,264.52
  6. Step 6: Final answer
    x = 8,689.18

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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.