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Finding the Fourth Proportional to 11,388.16, 17,084.06 and 4,814.40

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Solution

The fourth proportional to 11,388.16, 17,084.06 and 4,814.40 is: 7,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,388.16 : 17,084.06 = 4,814.40 : x
  2. Step 2: Convert to fraction form
    11,388.16/17,084.06 = 4,814.40/x
  3. Step 3: Cross multiply
    11,388.16x = 17,084.06 × 4,814.40
  4. Step 4: Simplify right side
    11,388.16x = 82,249,498.46
  5. Step 5: Solve for x
    x = 82,249,498.46/11,388.16
  6. Step 6: Final answer
    x = 7,222.37

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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.