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Finding the Fourth Proportional to 11,261.70, 15,478.90 and 9,927.63

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Solution

The fourth proportional to 11,261.70, 15,478.90 and 9,927.63 is: 13,645.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,261.70 : 15,478.90 = 9,927.63 : x
  2. Step 2: Convert to fraction form
    11,261.70/15,478.90 = 9,927.63/x
  3. Step 3: Cross multiply
    11,261.70x = 15,478.90 × 9,927.63
  4. Step 4: Simplify right side
    11,261.70x = 153,668,767.19
  5. Step 5: Solve for x
    x = 153,668,767.19/11,261.70
  6. Step 6: Final answer
    x = 13,645.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.