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Finding the Fourth Proportional to 11,348.37, 15,652.98 and 6,864.39

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Solution

The fourth proportional to 11,348.37, 15,652.98 and 6,864.39 is: 9,468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.37 : 15,652.98 = 6,864.39 : x
  2. Step 2: Convert to fraction form
    11,348.37/15,652.98 = 6,864.39/x
  3. Step 3: Cross multiply
    11,348.37x = 15,652.98 × 6,864.39
  4. Step 4: Simplify right side
    11,348.37x = 107,448,159.38
  5. Step 5: Solve for x
    x = 107,448,159.38/11,348.37
  6. Step 6: Final answer
    x = 9,468.16

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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.