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Finding the Fourth Proportional to 10,599.26, 15,880.18 and 6,430.81

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Solution

The fourth proportional to 10,599.26, 15,880.18 and 6,430.81 is: 9,634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.26 : 15,880.18 = 6,430.81 : x
  2. Step 2: Convert to fraction form
    10,599.26/15,880.18 = 6,430.81/x
  3. Step 3: Cross multiply
    10,599.26x = 15,880.18 × 6,430.81
  4. Step 4: Simplify right side
    10,599.26x = 102,122,362.02
  5. Step 5: Solve for x
    x = 102,122,362.02/10,599.26
  6. Step 6: Final answer
    x = 9,634.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.