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Finding the Fourth Proportional to 11,470.43, 15,829.95 and 6,435

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Solution

The fourth proportional to 11,470.43, 15,829.95 and 6,435 is: 8,880.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.43 : 15,829.95 = 6,435 : x
  2. Step 2: Convert to fraction form
    11,470.43/15,829.95 = 6,435/x
  3. Step 3: Cross multiply
    11,470.43x = 15,829.95 × 6,435
  4. Step 4: Simplify right side
    11,470.43x = 101,865,728.25
  5. Step 5: Solve for x
    x = 101,865,728.25/11,470.43
  6. Step 6: Final answer
    x = 8,880.73

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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.