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Finding the Fourth Proportional to 10,435.87, 15,653.53 and 3,042.37

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Solution

The fourth proportional to 10,435.87, 15,653.53 and 3,042.37 is: 4,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.87 : 15,653.53 = 3,042.37 : x
  2. Step 2: Convert to fraction form
    10,435.87/15,653.53 = 3,042.37/x
  3. Step 3: Cross multiply
    10,435.87x = 15,653.53 × 3,042.37
  4. Step 4: Simplify right side
    10,435.87x = 47,623,830.07
  5. Step 5: Solve for x
    x = 47,623,830.07/10,435.87
  6. Step 6: Final answer
    x = 4,563.47

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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.