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Finding the Fourth Proportional to 8,946.60, 13,392 and 8,007.60

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Solution

The fourth proportional to 8,946.60, 13,392 and 8,007.60 is: 11,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.60 : 13,392 = 8,007.60 : x
  2. Step 2: Convert to fraction form
    8,946.60/13,392 = 8,007.60/x
  3. Step 3: Cross multiply
    8,946.60x = 13,392 × 8,007.60
  4. Step 4: Simplify right side
    8,946.60x = 107,237,779.20
  5. Step 5: Solve for x
    x = 107,237,779.20/8,946.60
  6. Step 6: Final answer
    x = 11,986.43

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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.