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Finding the Fourth Proportional to 11,810.29, 17,710.42 and 4,409.58

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Solution

The fourth proportional to 11,810.29, 17,710.42 and 4,409.58 is: 6,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.29 : 17,710.42 = 4,409.58 : x
  2. Step 2: Convert to fraction form
    11,810.29/17,710.42 = 4,409.58/x
  3. Step 3: Cross multiply
    11,810.29x = 17,710.42 × 4,409.58
  4. Step 4: Simplify right side
    11,810.29x = 78,095,513.82
  5. Step 5: Solve for x
    x = 78,095,513.82/11,810.29
  6. Step 6: Final answer
    x = 6,612.50

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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.