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Finding the Fourth Proportional to 10,461, 14,436.04 and 5,745.20

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Solution

The fourth proportional to 10,461, 14,436.04 and 5,745.20 is: 7,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461 : 14,436.04 = 5,745.20 : x
  2. Step 2: Convert to fraction form
    10,461/14,436.04 = 5,745.20/x
  3. Step 3: Cross multiply
    10,461x = 14,436.04 × 5,745.20
  4. Step 4: Simplify right side
    10,461x = 82,937,937.01
  5. Step 5: Solve for x
    x = 82,937,937.01/10,461
  6. Step 6: Final answer
    x = 7,928.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.