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Finding the Fourth Proportional to 7,674.40, 11,511.60 and 5,730.40

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Solution

The fourth proportional to 7,674.40, 11,511.60 and 5,730.40 is: 8,595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.40 : 11,511.60 = 5,730.40 : x
  2. Step 2: Convert to fraction form
    7,674.40/11,511.60 = 5,730.40/x
  3. Step 3: Cross multiply
    7,674.40x = 11,511.60 × 5,730.40
  4. Step 4: Simplify right side
    7,674.40x = 65,966,072.64
  5. Step 5: Solve for x
    x = 65,966,072.64/7,674.40
  6. Step 6: Final answer
    x = 8,595.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.