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Finding the Fourth Proportional to 10,504.31, 14,491.23 and 7,100.23

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Solution

The fourth proportional to 10,504.31, 14,491.23 and 7,100.23 is: 9,795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.31 : 14,491.23 = 7,100.23 : x
  2. Step 2: Convert to fraction form
    10,504.31/14,491.23 = 7,100.23/x
  3. Step 3: Cross multiply
    10,504.31x = 14,491.23 × 7,100.23
  4. Step 4: Simplify right side
    10,504.31x = 102,891,030.48
  5. Step 5: Solve for x
    x = 102,891,030.48/10,504.31
  6. Step 6: Final answer
    x = 9,795.13

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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.