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Finding the Fourth Proportional to 10,599.36, 15,898.56 and 4,361.76

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Solution

The fourth proportional to 10,599.36, 15,898.56 and 4,361.76 is: 6,542.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.36 : 15,898.56 = 4,361.76 : x
  2. Step 2: Convert to fraction form
    10,599.36/15,898.56 = 4,361.76/x
  3. Step 3: Cross multiply
    10,599.36x = 15,898.56 × 4,361.76
  4. Step 4: Simplify right side
    10,599.36x = 69,345,703.07
  5. Step 5: Solve for x
    x = 69,345,703.07/10,599.36
  6. Step 6: Final answer
    x = 6,542.44

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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.