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Finding the Fourth Proportional to 10,745.92, 14,829.32 and 6,030.20

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Solution

The fourth proportional to 10,745.92, 14,829.32 and 6,030.20 is: 8,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.92 : 14,829.32 = 6,030.20 : x
  2. Step 2: Convert to fraction form
    10,745.92/14,829.32 = 6,030.20/x
  3. Step 3: Cross multiply
    10,745.92x = 14,829.32 × 6,030.20
  4. Step 4: Simplify right side
    10,745.92x = 89,423,765.46
  5. Step 5: Solve for x
    x = 89,423,765.46/10,745.92
  6. Step 6: Final answer
    x = 8,321.65

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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.