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Finding the Fourth Proportional to 11,111.10, 15,333.06 and 6,075.36

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Solution

The fourth proportional to 11,111.10, 15,333.06 and 6,075.36 is: 8,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,111.10 : 15,333.06 = 6,075.36 : x
  2. Step 2: Convert to fraction form
    11,111.10/15,333.06 = 6,075.36/x
  3. Step 3: Cross multiply
    11,111.10x = 15,333.06 × 6,075.36
  4. Step 4: Simplify right side
    11,111.10x = 93,153,859.40
  5. Step 5: Solve for x
    x = 93,153,859.40/11,111.10
  6. Step 6: Final answer
    x = 8,383.86

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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.