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Finding the Fourth Proportional to 10,460.76, 14,435.76 and 5,745.12

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Solution

The fourth proportional to 10,460.76, 14,435.76 and 5,745.12 is: 7,928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.76 : 14,435.76 = 5,745.12 : x
  2. Step 2: Convert to fraction form
    10,460.76/14,435.76 = 5,745.12/x
  3. Step 3: Cross multiply
    10,460.76x = 14,435.76 × 5,745.12
  4. Step 4: Simplify right side
    10,460.76x = 82,935,173.49
  5. Step 5: Solve for x
    x = 82,935,173.49/10,460.76
  6. Step 6: Final answer
    x = 7,928.22

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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.