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Finding the Fourth Proportional to 10,577.48, 14,563.71 and 8,980.79

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Solution

The fourth proportional to 10,577.48, 14,563.71 and 8,980.79 is: 12,365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.48 : 14,563.71 = 8,980.79 : x
  2. Step 2: Convert to fraction form
    10,577.48/14,563.71 = 8,980.79/x
  3. Step 3: Cross multiply
    10,577.48x = 14,563.71 × 8,980.79
  4. Step 4: Simplify right side
    10,577.48x = 130,793,621.13
  5. Step 5: Solve for x
    x = 130,793,621.13/10,577.48
  6. Step 6: Final answer
    x = 12,365.29

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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.