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Finding the Fourth Proportional to 11,012.17, 15,188.93 and 7,776.77

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Solution

The fourth proportional to 11,012.17, 15,188.93 and 7,776.77 is: 10,726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,012.17 : 15,188.93 = 7,776.77 : x
  2. Step 2: Convert to fraction form
    11,012.17/15,188.93 = 7,776.77/x
  3. Step 3: Cross multiply
    11,012.17x = 15,188.93 × 7,776.77
  4. Step 4: Simplify right side
    11,012.17x = 118,120,815.16
  5. Step 5: Solve for x
    x = 118,120,815.16/11,012.17
  6. Step 6: Final answer
    x = 10,726.39

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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.