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Finding the Fourth Proportional to 11,004.94, 15,188.34 and 7,645.90

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Solution

The fourth proportional to 11,004.94, 15,188.34 and 7,645.90 is: 10,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,004.94 : 15,188.34 = 7,645.90 : x
  2. Step 2: Convert to fraction form
    11,004.94/15,188.34 = 7,645.90/x
  3. Step 3: Cross multiply
    11,004.94x = 15,188.34 × 7,645.90
  4. Step 4: Simplify right side
    11,004.94x = 116,128,528.81
  5. Step 5: Solve for x
    x = 116,128,528.81/11,004.94
  6. Step 6: Final answer
    x = 10,552.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.