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Finding the Fourth Proportional to 11,980.11, 17,969.55 and 4,584

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Solution

The fourth proportional to 11,980.11, 17,969.55 and 4,584 is: 6,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.11 : 17,969.55 = 4,584 : x
  2. Step 2: Convert to fraction form
    11,980.11/17,969.55 = 4,584/x
  3. Step 3: Cross multiply
    11,980.11x = 17,969.55 × 4,584
  4. Step 4: Simplify right side
    11,980.11x = 82,372,417.20
  5. Step 5: Solve for x
    x = 82,372,417.20/11,980.11
  6. Step 6: Final answer
    x = 6,875.76

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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.