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Finding the Fourth Proportional to 11,220.16, 16,827.44 and 4,648.16

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Solution

The fourth proportional to 11,220.16, 16,827.44 and 4,648.16 is: 6,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,220.16 : 16,827.44 = 4,648.16 : x
  2. Step 2: Convert to fraction form
    11,220.16/16,827.44 = 4,648.16/x
  3. Step 3: Cross multiply
    11,220.16x = 16,827.44 × 4,648.16
  4. Step 4: Simplify right side
    11,220.16x = 78,216,633.51
  5. Step 5: Solve for x
    x = 78,216,633.51/11,220.16
  6. Step 6: Final answer
    x = 6,971.08

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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.