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Finding the Fourth Proportional to 10,745.79, 14,829.14 and 6,030.07

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Solution

The fourth proportional to 10,745.79, 14,829.14 and 6,030.07 is: 8,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.79 : 14,829.14 = 6,030.07 : x
  2. Step 2: Convert to fraction form
    10,745.79/14,829.14 = 6,030.07/x
  3. Step 3: Cross multiply
    10,745.79x = 14,829.14 × 6,030.07
  4. Step 4: Simplify right side
    10,745.79x = 89,420,752.24
  5. Step 5: Solve for x
    x = 89,420,752.24/10,745.79
  6. Step 6: Final answer
    x = 8,321.47

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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.