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Finding the Fourth Proportional to 11,913.12, 17,875.64 and 5,344

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Solution

The fourth proportional to 11,913.12, 17,875.64 and 5,344 is: 8,018.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.12 : 17,875.64 = 5,344 : x
  2. Step 2: Convert to fraction form
    11,913.12/17,875.64 = 5,344/x
  3. Step 3: Cross multiply
    11,913.12x = 17,875.64 × 5,344
  4. Step 4: Simplify right side
    11,913.12x = 95,527,420.16
  5. Step 5: Solve for x
    x = 95,527,420.16/11,913.12
  6. Step 6: Final answer
    x = 8,018.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.