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Finding the Fourth Proportional to 7,643.09, 10,552.07 and 4,994.93

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Solution

The fourth proportional to 7,643.09, 10,552.07 and 4,994.93 is: 6,896.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.09 : 10,552.07 = 4,994.93 : x
  2. Step 2: Convert to fraction form
    7,643.09/10,552.07 = 4,994.93/x
  3. Step 3: Cross multiply
    7,643.09x = 10,552.07 × 4,994.93
  4. Step 4: Simplify right side
    7,643.09x = 52,706,851.01
  5. Step 5: Solve for x
    x = 52,706,851.01/7,643.09
  6. Step 6: Final answer
    x = 6,896.01

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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.