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Finding the Fourth Proportional to 11,166.34, 15,407.94 and 7,192.84

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Solution

The fourth proportional to 11,166.34, 15,407.94 and 7,192.84 is: 9,925.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.34 : 15,407.94 = 7,192.84 : x
  2. Step 2: Convert to fraction form
    11,166.34/15,407.94 = 7,192.84/x
  3. Step 3: Cross multiply
    11,166.34x = 15,407.94 × 7,192.84
  4. Step 4: Simplify right side
    11,166.34x = 110,826,847.15
  5. Step 5: Solve for x
    x = 110,826,847.15/11,166.34
  6. Step 6: Final answer
    x = 9,925.08

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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.