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Finding the Fourth Proportional to 11,064.16, 16,597.80 and 4,138

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Solution

The fourth proportional to 11,064.16, 16,597.80 and 4,138 is: 6,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,064.16 : 16,597.80 = 4,138 : x
  2. Step 2: Convert to fraction form
    11,064.16/16,597.80 = 4,138/x
  3. Step 3: Cross multiply
    11,064.16x = 16,597.80 × 4,138
  4. Step 4: Simplify right side
    11,064.16x = 68,681,696.40
  5. Step 5: Solve for x
    x = 68,681,696.40/11,064.16
  6. Step 6: Final answer
    x = 6,207.58

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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.