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Finding the Fourth Proportional to 10,574.94, 15,858.57 and 4,419.42

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Solution

The fourth proportional to 10,574.94, 15,858.57 and 4,419.42 is: 6,627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.94 : 15,858.57 = 4,419.42 : x
  2. Step 2: Convert to fraction form
    10,574.94/15,858.57 = 4,419.42/x
  3. Step 3: Cross multiply
    10,574.94x = 15,858.57 × 4,419.42
  4. Step 4: Simplify right side
    10,574.94x = 70,085,681.43
  5. Step 5: Solve for x
    x = 70,085,681.43/10,574.94
  6. Step 6: Final answer
    x = 6,627.53

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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.