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Finding the Fourth Proportional to 15,296.16, 21,108.94 and 8,490

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Solution

The fourth proportional to 15,296.16, 21,108.94 and 8,490 is: 11,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,296.16 : 21,108.94 = 8,490 : x
  2. Step 2: Convert to fraction form
    15,296.16/21,108.94 = 8,490/x
  3. Step 3: Cross multiply
    15,296.16x = 21,108.94 × 8,490
  4. Step 4: Simplify right side
    15,296.16x = 179,214,900.60
  5. Step 5: Solve for x
    x = 179,214,900.60/15,296.16
  6. Step 6: Final answer
    x = 11,716.33

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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.