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Finding the Fourth Proportional to 10,113.93, 13,958.91 and 7,468.98

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Solution

The fourth proportional to 10,113.93, 13,958.91 and 7,468.98 is: 10,308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.93 : 13,958.91 = 7,468.98 : x
  2. Step 2: Convert to fraction form
    10,113.93/13,958.91 = 7,468.98/x
  3. Step 3: Cross multiply
    10,113.93x = 13,958.91 × 7,468.98
  4. Step 4: Simplify right side
    10,113.93x = 104,258,819.61
  5. Step 5: Solve for x
    x = 104,258,819.61/10,113.93
  6. Step 6: Final answer
    x = 10,308.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.