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Finding the Fourth Proportional to 11,577.67, 15,977.08 and 6,541.80

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Solution

The fourth proportional to 11,577.67, 15,977.08 and 6,541.80 is: 9,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.67 : 15,977.08 = 6,541.80 : x
  2. Step 2: Convert to fraction form
    11,577.67/15,977.08 = 6,541.80/x
  3. Step 3: Cross multiply
    11,577.67x = 15,977.08 × 6,541.80
  4. Step 4: Simplify right side
    11,577.67x = 104,518,810.21
  5. Step 5: Solve for x
    x = 104,518,810.21/11,577.67
  6. Step 6: Final answer
    x = 9,027.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.