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Finding the Fourth Proportional to 10,653.45, 15,980.16 and 2,862.26

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Solution

The fourth proportional to 10,653.45, 15,980.16 and 2,862.26 is: 4,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.45 : 15,980.16 = 2,862.26 : x
  2. Step 2: Convert to fraction form
    10,653.45/15,980.16 = 2,862.26/x
  3. Step 3: Cross multiply
    10,653.45x = 15,980.16 × 2,862.26
  4. Step 4: Simplify right side
    10,653.45x = 45,739,342.05
  5. Step 5: Solve for x
    x = 45,739,342.05/10,653.45
  6. Step 6: Final answer
    x = 4,293.38

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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.