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Finding the Fourth Proportional to 11,109.64, 15,330.74 and 6,140.68

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Solution

The fourth proportional to 11,109.64, 15,330.74 and 6,140.68 is: 8,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,109.64 : 15,330.74 = 6,140.68 : x
  2. Step 2: Convert to fraction form
    11,109.64/15,330.74 = 6,140.68/x
  3. Step 3: Cross multiply
    11,109.64x = 15,330.74 × 6,140.68
  4. Step 4: Simplify right side
    11,109.64x = 94,141,168.50
  5. Step 5: Solve for x
    x = 94,141,168.50/11,109.64
  6. Step 6: Final answer
    x = 8,473.83

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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.