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Finding the Fourth Proportional to 11,119, 15,346.08 and 6,402.40

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Solution

The fourth proportional to 11,119, 15,346.08 and 6,402.40 is: 8,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,119 : 15,346.08 = 6,402.40 : x
  2. Step 2: Convert to fraction form
    11,119/15,346.08 = 6,402.40/x
  3. Step 3: Cross multiply
    11,119x = 15,346.08 × 6,402.40
  4. Step 4: Simplify right side
    11,119x = 98,251,742.59
  5. Step 5: Solve for x
    x = 98,251,742.59/11,119
  6. Step 6: Final answer
    x = 8,836.38

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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.