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Finding the Fourth Proportional to 10,970.52, 16,419.33 and 8,768.94

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Solution

The fourth proportional to 10,970.52, 16,419.33 and 8,768.94 is: 13,124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.52 : 16,419.33 = 8,768.94 : x
  2. Step 2: Convert to fraction form
    10,970.52/16,419.33 = 8,768.94/x
  3. Step 3: Cross multiply
    10,970.52x = 16,419.33 × 8,768.94
  4. Step 4: Simplify right side
    10,970.52x = 143,980,119.61
  5. Step 5: Solve for x
    x = 143,980,119.61/10,970.52
  6. Step 6: Final answer
    x = 13,124.27

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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.