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Finding the Fourth Proportional to 11,875.94, 17,820.12 and 4,861.16

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Solution

The fourth proportional to 11,875.94, 17,820.12 and 4,861.16 is: 7,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.94 : 17,820.12 = 4,861.16 : x
  2. Step 2: Convert to fraction form
    11,875.94/17,820.12 = 4,861.16/x
  3. Step 3: Cross multiply
    11,875.94x = 17,820.12 × 4,861.16
  4. Step 4: Simplify right side
    11,875.94x = 86,626,454.54
  5. Step 5: Solve for x
    x = 86,626,454.54/11,875.94
  6. Step 6: Final answer
    x = 7,294.28

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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.