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Finding the Fourth Proportional to 8,476.40, 12,678.60 and 7,605.20

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Solution

The fourth proportional to 8,476.40, 12,678.60 and 7,605.20 is: 11,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.40 : 12,678.60 = 7,605.20 : x
  2. Step 2: Convert to fraction form
    8,476.40/12,678.60 = 7,605.20/x
  3. Step 3: Cross multiply
    8,476.40x = 12,678.60 × 7,605.20
  4. Step 4: Simplify right side
    8,476.40x = 96,423,288.72
  5. Step 5: Solve for x
    x = 96,423,288.72/8,476.40
  6. Step 6: Final answer
    x = 11,375.50

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Why These Related Problems?

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