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Finding the Fourth Proportional to 11,453.18, 15,804.15 and 8,470.70

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Solution

The fourth proportional to 11,453.18, 15,804.15 and 8,470.70 is: 11,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.18 : 15,804.15 = 8,470.70 : x
  2. Step 2: Convert to fraction form
    11,453.18/15,804.15 = 8,470.70/x
  3. Step 3: Cross multiply
    11,453.18x = 15,804.15 × 8,470.70
  4. Step 4: Simplify right side
    11,453.18x = 133,872,213.41
  5. Step 5: Solve for x
    x = 133,872,213.41/11,453.18
  6. Step 6: Final answer
    x = 11,688.65

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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.