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Finding the Fourth Proportional to 10,448.05, 14,410.27 and 7,261.31

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Solution

The fourth proportional to 10,448.05, 14,410.27 and 7,261.31 is: 10,015.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.05 : 14,410.27 = 7,261.31 : x
  2. Step 2: Convert to fraction form
    10,448.05/14,410.27 = 7,261.31/x
  3. Step 3: Cross multiply
    10,448.05x = 14,410.27 × 7,261.31
  4. Step 4: Simplify right side
    10,448.05x = 104,637,437.65
  5. Step 5: Solve for x
    x = 104,637,437.65/10,448.05
  6. Step 6: Final answer
    x = 10,015.02

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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.