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Finding the Fourth Proportional to 11,456.66, 15,810.23 and 7,475.42

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Solution

The fourth proportional to 11,456.66, 15,810.23 and 7,475.42 is: 10,316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.66 : 15,810.23 = 7,475.42 : x
  2. Step 2: Convert to fraction form
    11,456.66/15,810.23 = 7,475.42/x
  3. Step 3: Cross multiply
    11,456.66x = 15,810.23 × 7,475.42
  4. Step 4: Simplify right side
    11,456.66x = 118,187,993.12
  5. Step 5: Solve for x
    x = 118,187,993.12/11,456.66
  6. Step 6: Final answer
    x = 10,316.10

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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.