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Finding the Fourth Proportional to 11,557.55, 17,297.10 and 7,400.40

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Solution

The fourth proportional to 11,557.55, 17,297.10 and 7,400.40 is: 11,075.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.55 : 17,297.10 = 7,400.40 : x
  2. Step 2: Convert to fraction form
    11,557.55/17,297.10 = 7,400.40/x
  3. Step 3: Cross multiply
    11,557.55x = 17,297.10 × 7,400.40
  4. Step 4: Simplify right side
    11,557.55x = 128,005,458.84
  5. Step 5: Solve for x
    x = 128,005,458.84/11,557.55
  6. Step 6: Final answer
    x = 11,075.49

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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.