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Finding the Fourth Proportional to 10,597.29, 14,617.89 and 7,012.32

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Solution

The fourth proportional to 10,597.29, 14,617.89 and 7,012.32 is: 9,672.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.29 : 14,617.89 = 7,012.32 : x
  2. Step 2: Convert to fraction form
    10,597.29/14,617.89 = 7,012.32/x
  3. Step 3: Cross multiply
    10,597.29x = 14,617.89 × 7,012.32
  4. Step 4: Simplify right side
    10,597.29x = 102,505,322.40
  5. Step 5: Solve for x
    x = 102,505,322.40/10,597.29
  6. Step 6: Final answer
    x = 9,672.79

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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.