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Finding the Fourth Proportional to 8,383.69, 11,570.18 and 5,405.72

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Solution

The fourth proportional to 8,383.69, 11,570.18 and 5,405.72 is: 7,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.69 : 11,570.18 = 5,405.72 : x
  2. Step 2: Convert to fraction form
    8,383.69/11,570.18 = 5,405.72/x
  3. Step 3: Cross multiply
    8,383.69x = 11,570.18 × 5,405.72
  4. Step 4: Simplify right side
    8,383.69x = 62,545,126.40
  5. Step 5: Solve for x
    x = 62,545,126.40/8,383.69
  6. Step 6: Final answer
    x = 7,460.34

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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.