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Finding the Fourth Proportional to 11,875.32, 17,813 and 4,084.16

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Solution

The fourth proportional to 11,875.32, 17,813 and 4,084.16 is: 6,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.32 : 17,813 = 4,084.16 : x
  2. Step 2: Convert to fraction form
    11,875.32/17,813 = 4,084.16/x
  3. Step 3: Cross multiply
    11,875.32x = 17,813 × 4,084.16
  4. Step 4: Simplify right side
    11,875.32x = 72,751,142.08
  5. Step 5: Solve for x
    x = 72,751,142.08/11,875.32
  6. Step 6: Final answer
    x = 6,126.25

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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.