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Finding the Fourth Proportional to 10,442.44, 14,413.08 and 7,090.84

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Solution

The fourth proportional to 10,442.44, 14,413.08 and 7,090.84 is: 9,787.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.44 : 14,413.08 = 7,090.84 : x
  2. Step 2: Convert to fraction form
    10,442.44/14,413.08 = 7,090.84/x
  3. Step 3: Cross multiply
    10,442.44x = 14,413.08 × 7,090.84
  4. Step 4: Simplify right side
    10,442.44x = 102,200,844.19
  5. Step 5: Solve for x
    x = 102,200,844.19/10,442.44
  6. Step 6: Final answer
    x = 9,787.07

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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.