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Finding the Fourth Proportional to 11,970.78, 16,520.31 and 7,254.78

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Solution

The fourth proportional to 11,970.78, 16,520.31 and 7,254.78 is: 10,011.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.78 : 16,520.31 = 7,254.78 : x
  2. Step 2: Convert to fraction form
    11,970.78/16,520.31 = 7,254.78/x
  3. Step 3: Cross multiply
    11,970.78x = 16,520.31 × 7,254.78
  4. Step 4: Simplify right side
    11,970.78x = 119,851,214.58
  5. Step 5: Solve for x
    x = 119,851,214.58/11,970.78
  6. Step 6: Final answer
    x = 10,011.98

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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.