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Finding the Fourth Proportional to 11,360.82, 15,678.05 and 6,647.84

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Solution

The fourth proportional to 11,360.82, 15,678.05 and 6,647.84 is: 9,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,360.82 : 15,678.05 = 6,647.84 : x
  2. Step 2: Convert to fraction form
    11,360.82/15,678.05 = 6,647.84/x
  3. Step 3: Cross multiply
    11,360.82x = 15,678.05 × 6,647.84
  4. Step 4: Simplify right side
    11,360.82x = 104,225,056.28
  5. Step 5: Solve for x
    x = 104,225,056.28/11,360.82
  6. Step 6: Final answer
    x = 9,174.08

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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.