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Finding the Fourth Proportional to 10,054.99, 13,875.26 and 5,578.65

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Solution

The fourth proportional to 10,054.99, 13,875.26 and 5,578.65 is: 7,698.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.99 : 13,875.26 = 5,578.65 : x
  2. Step 2: Convert to fraction form
    10,054.99/13,875.26 = 5,578.65/x
  3. Step 3: Cross multiply
    10,054.99x = 13,875.26 × 5,578.65
  4. Step 4: Simplify right side
    10,054.99x = 77,405,219.20
  5. Step 5: Solve for x
    x = 77,405,219.20/10,054.99
  6. Step 6: Final answer
    x = 7,698.19

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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.