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Finding the Fourth Proportional to 10,804.48, 14,914.24 and 7,078.72

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Solution

The fourth proportional to 10,804.48, 14,914.24 and 7,078.72 is: 9,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.48 : 14,914.24 = 7,078.72 : x
  2. Step 2: Convert to fraction form
    10,804.48/14,914.24 = 7,078.72/x
  3. Step 3: Cross multiply
    10,804.48x = 14,914.24 × 7,078.72
  4. Step 4: Simplify right side
    10,804.48x = 105,573,728.97
  5. Step 5: Solve for x
    x = 105,573,728.97/10,804.48
  6. Step 6: Final answer
    x = 9,771.29

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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.