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Finding the Fourth Proportional to 10,435.12, 15,653.70 and 3,039.64

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Solution

The fourth proportional to 10,435.12, 15,653.70 and 3,039.64 is: 4,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.12 : 15,653.70 = 3,039.64 : x
  2. Step 2: Convert to fraction form
    10,435.12/15,653.70 = 3,039.64/x
  3. Step 3: Cross multiply
    10,435.12x = 15,653.70 × 3,039.64
  4. Step 4: Simplify right side
    10,435.12x = 47,581,573.53
  5. Step 5: Solve for x
    x = 47,581,573.53/10,435.12
  6. Step 6: Final answer
    x = 4,559.75

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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.