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Finding the Fourth Proportional to 10,577.98, 14,564.40 and 8,981.29

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Solution

The fourth proportional to 10,577.98, 14,564.40 and 8,981.29 is: 12,365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.98 : 14,564.40 = 8,981.29 : x
  2. Step 2: Convert to fraction form
    10,577.98/14,564.40 = 8,981.29/x
  3. Step 3: Cross multiply
    10,577.98x = 14,564.40 × 8,981.29
  4. Step 4: Simplify right side
    10,577.98x = 130,807,100.08
  5. Step 5: Solve for x
    x = 130,807,100.08/10,577.98
  6. Step 6: Final answer
    x = 12,365.98

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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.