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Finding the Fourth Proportional to 8,284.30, 11,430.46 and 6,047.40

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Solution

The fourth proportional to 8,284.30, 11,430.46 and 6,047.40 is: 8,344.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.30 : 11,430.46 = 6,047.40 : x
  2. Step 2: Convert to fraction form
    8,284.30/11,430.46 = 6,047.40/x
  3. Step 3: Cross multiply
    8,284.30x = 11,430.46 × 6,047.40
  4. Step 4: Simplify right side
    8,284.30x = 69,124,563.80
  5. Step 5: Solve for x
    x = 69,124,563.80/8,284.30
  6. Step 6: Final answer
    x = 8,344.04

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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.