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Finding the Fourth Proportional to 11,004.64, 15,189.04 and 6,291.66

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Solution

The fourth proportional to 11,004.64, 15,189.04 and 6,291.66 is: 8,684.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,004.64 : 15,189.04 = 6,291.66 : x
  2. Step 2: Convert to fraction form
    11,004.64/15,189.04 = 6,291.66/x
  3. Step 3: Cross multiply
    11,004.64x = 15,189.04 × 6,291.66
  4. Step 4: Simplify right side
    11,004.64x = 95,564,275.41
  5. Step 5: Solve for x
    x = 95,564,275.41/11,004.64
  6. Step 6: Final answer
    x = 8,684.00

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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.