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Finding the Fourth Proportional to 11,075.01, 15,285.14 and 7,297.57

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Solution

The fourth proportional to 11,075.01, 15,285.14 and 7,297.57 is: 10,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,075.01 : 15,285.14 = 7,297.57 : x
  2. Step 2: Convert to fraction form
    11,075.01/15,285.14 = 7,297.57/x
  3. Step 3: Cross multiply
    11,075.01x = 15,285.14 × 7,297.57
  4. Step 4: Simplify right side
    11,075.01x = 111,544,379.11
  5. Step 5: Solve for x
    x = 111,544,379.11/11,075.01
  6. Step 6: Final answer
    x = 10,071.72

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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.