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Finding the Fourth Proportional to 11,420.20, 15,730.54 and 8,057.08

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Solution

The fourth proportional to 11,420.20, 15,730.54 and 8,057.08 is: 11,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.20 : 15,730.54 = 8,057.08 : x
  2. Step 2: Convert to fraction form
    11,420.20/15,730.54 = 8,057.08/x
  3. Step 3: Cross multiply
    11,420.20x = 15,730.54 × 8,057.08
  4. Step 4: Simplify right side
    11,420.20x = 126,742,219.22
  5. Step 5: Solve for x
    x = 126,742,219.22/11,420.20
  6. Step 6: Final answer
    x = 11,098.07

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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.