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Finding the Fourth Proportional to 7,812.54, 10,770.08 and 5,570.51

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Solution

The fourth proportional to 7,812.54, 10,770.08 and 5,570.51 is: 7,679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.54 : 10,770.08 = 5,570.51 : x
  2. Step 2: Convert to fraction form
    7,812.54/10,770.08 = 5,570.51/x
  3. Step 3: Cross multiply
    7,812.54x = 10,770.08 × 5,570.51
  4. Step 4: Simplify right side
    7,812.54x = 59,994,837.41
  5. Step 5: Solve for x
    x = 59,994,837.41/7,812.54
  6. Step 6: Final answer
    x = 7,679.30

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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.