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Finding the Fourth Proportional to 11,470.06, 15,832.05 and 7,491.74

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Solution

The fourth proportional to 11,470.06, 15,832.05 and 7,491.74 is: 10,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.06 : 15,832.05 = 7,491.74 : x
  2. Step 2: Convert to fraction form
    11,470.06/15,832.05 = 7,491.74/x
  3. Step 3: Cross multiply
    11,470.06x = 15,832.05 × 7,491.74
  4. Step 4: Simplify right side
    11,470.06x = 118,609,602.27
  5. Step 5: Solve for x
    x = 118,609,602.27/11,470.06
  6. Step 6: Final answer
    x = 10,340.80

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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.