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Finding the Fourth Proportional to 10,004.64, 13,789.84 and 7,516.32

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Solution

The fourth proportional to 10,004.64, 13,789.84 and 7,516.32 is: 10,360.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.64 : 13,789.84 = 7,516.32 : x
  2. Step 2: Convert to fraction form
    10,004.64/13,789.84 = 7,516.32/x
  3. Step 3: Cross multiply
    10,004.64x = 13,789.84 × 7,516.32
  4. Step 4: Simplify right side
    10,004.64x = 103,648,850.19
  5. Step 5: Solve for x
    x = 103,648,850.19/10,004.64
  6. Step 6: Final answer
    x = 10,360.08

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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.