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Finding the Fourth Proportional to 13,102.98, 18,078 and 7,437.30

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Solution

The fourth proportional to 13,102.98, 18,078 and 7,437.30 is: 10,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.98 : 18,078 = 7,437.30 : x
  2. Step 2: Convert to fraction form
    13,102.98/18,078 = 7,437.30/x
  3. Step 3: Cross multiply
    13,102.98x = 18,078 × 7,437.30
  4. Step 4: Simplify right side
    13,102.98x = 134,451,509.40
  5. Step 5: Solve for x
    x = 134,451,509.40/13,102.98
  6. Step 6: Final answer
    x = 10,261.14

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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.