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Finding the Fourth Proportional to 11,111.87, 15,333.76 and 6,075.16

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Solution

The fourth proportional to 11,111.87, 15,333.76 and 6,075.16 is: 8,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,111.87 : 15,333.76 = 6,075.16 : x
  2. Step 2: Convert to fraction form
    11,111.87/15,333.76 = 6,075.16/x
  3. Step 3: Cross multiply
    11,111.87x = 15,333.76 × 6,075.16
  4. Step 4: Simplify right side
    11,111.87x = 93,154,991.88
  5. Step 5: Solve for x
    x = 93,154,991.88/11,111.87
  6. Step 6: Final answer
    x = 8,383.37

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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.