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Finding the Fourth Proportional to 11,210.58, 15,454.44 and 7,842.96

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Solution

The fourth proportional to 11,210.58, 15,454.44 and 7,842.96 is: 10,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210.58 : 15,454.44 = 7,842.96 : x
  2. Step 2: Convert to fraction form
    11,210.58/15,454.44 = 7,842.96/x
  3. Step 3: Cross multiply
    11,210.58x = 15,454.44 × 7,842.96
  4. Step 4: Simplify right side
    11,210.58x = 121,208,554.74
  5. Step 5: Solve for x
    x = 121,208,554.74/11,210.58
  6. Step 6: Final answer
    x = 10,811.98

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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.