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Finding the Fourth Proportional to 10,054.49, 13,875.93 and 5,578.20

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Solution

The fourth proportional to 10,054.49, 13,875.93 and 5,578.20 is: 7,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.49 : 13,875.93 = 5,578.20 : x
  2. Step 2: Convert to fraction form
    10,054.49/13,875.93 = 5,578.20/x
  3. Step 3: Cross multiply
    10,054.49x = 13,875.93 × 5,578.20
  4. Step 4: Simplify right side
    10,054.49x = 77,402,712.73
  5. Step 5: Solve for x
    x = 77,402,712.73/10,054.49
  6. Step 6: Final answer
    x = 7,698.33

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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.