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Finding the Fourth Proportional to 11,807.60, 16,296.28 and 8,970.32

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Solution

The fourth proportional to 11,807.60, 16,296.28 and 8,970.32 is: 12,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.60 : 16,296.28 = 8,970.32 : x
  2. Step 2: Convert to fraction form
    11,807.60/16,296.28 = 8,970.32/x
  3. Step 3: Cross multiply
    11,807.60x = 16,296.28 × 8,970.32
  4. Step 4: Simplify right side
    11,807.60x = 146,182,846.41
  5. Step 5: Solve for x
    x = 146,182,846.41/11,807.60
  6. Step 6: Final answer
    x = 12,380.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.