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Finding the Fourth Proportional to 10,453.81, 15,686.30 and 4,907.20

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Solution

The fourth proportional to 10,453.81, 15,686.30 and 4,907.20 is: 7,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.81 : 15,686.30 = 4,907.20 : x
  2. Step 2: Convert to fraction form
    10,453.81/15,686.30 = 4,907.20/x
  3. Step 3: Cross multiply
    10,453.81x = 15,686.30 × 4,907.20
  4. Step 4: Simplify right side
    10,453.81x = 76,975,786.82
  5. Step 5: Solve for x
    x = 76,975,786.82/10,453.81
  6. Step 6: Final answer
    x = 7,363.42

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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.