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Finding the Fourth Proportional to 8,107.36, 11,187.70 and 4,570.76

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Solution

The fourth proportional to 8,107.36, 11,187.70 and 4,570.76 is: 6,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.36 : 11,187.70 = 4,570.76 : x
  2. Step 2: Convert to fraction form
    8,107.36/11,187.70 = 4,570.76/x
  3. Step 3: Cross multiply
    8,107.36x = 11,187.70 × 4,570.76
  4. Step 4: Simplify right side
    8,107.36x = 51,136,291.65
  5. Step 5: Solve for x
    x = 51,136,291.65/8,107.36
  6. Step 6: Final answer
    x = 6,307.39

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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.