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Finding the Fourth Proportional to 10,504.73, 14,495.21 and 7,109.16

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Solution

The fourth proportional to 10,504.73, 14,495.21 and 7,109.16 is: 9,809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.73 : 14,495.21 = 7,109.16 : x
  2. Step 2: Convert to fraction form
    10,504.73/14,495.21 = 7,109.16/x
  3. Step 3: Cross multiply
    10,504.73x = 14,495.21 × 7,109.16
  4. Step 4: Simplify right side
    10,504.73x = 103,048,731.58
  5. Step 5: Solve for x
    x = 103,048,731.58/10,504.73
  6. Step 6: Final answer
    x = 9,809.75

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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.