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Finding the Fourth Proportional to 11,970.48, 16,513.68 and 7,720.44

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Solution

The fourth proportional to 11,970.48, 16,513.68 and 7,720.44 is: 10,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.48 : 16,513.68 = 7,720.44 : x
  2. Step 2: Convert to fraction form
    11,970.48/16,513.68 = 7,720.44/x
  3. Step 3: Cross multiply
    11,970.48x = 16,513.68 × 7,720.44
  4. Step 4: Simplify right side
    11,970.48x = 127,492,875.62
  5. Step 5: Solve for x
    x = 127,492,875.62/11,970.48
  6. Step 6: Final answer
    x = 10,650.61

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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.