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Finding the Fourth Proportional to 10,577.12, 14,563.13 and 8,980.61

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Solution

The fourth proportional to 10,577.12, 14,563.13 and 8,980.61 is: 12,364.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.12 : 14,563.13 = 8,980.61 : x
  2. Step 2: Convert to fraction form
    10,577.12/14,563.13 = 8,980.61/x
  3. Step 3: Cross multiply
    10,577.12x = 14,563.13 × 8,980.61
  4. Step 4: Simplify right side
    10,577.12x = 130,785,673.19
  5. Step 5: Solve for x
    x = 130,785,673.19/10,577.12
  6. Step 6: Final answer
    x = 12,364.97

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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.