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Finding the Fourth Proportional to 11,430.95, 15,803.57 and 8,442.05

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Solution

The fourth proportional to 11,430.95, 15,803.57 and 8,442.05 is: 11,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.95 : 15,803.57 = 8,442.05 : x
  2. Step 2: Convert to fraction form
    11,430.95/15,803.57 = 8,442.05/x
  3. Step 3: Cross multiply
    11,430.95x = 15,803.57 × 8,442.05
  4. Step 4: Simplify right side
    11,430.95x = 133,414,470.21
  5. Step 5: Solve for x
    x = 133,414,470.21/11,430.95
  6. Step 6: Final answer
    x = 11,671.34

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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.