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Finding the Fourth Proportional to 7,912, 10,918.56 and 4,768.84

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Solution

The fourth proportional to 7,912, 10,918.56 and 4,768.84 is: 6,581.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912 : 10,918.56 = 4,768.84 : x
  2. Step 2: Convert to fraction form
    7,912/10,918.56 = 4,768.84/x
  3. Step 3: Cross multiply
    7,912x = 10,918.56 × 4,768.84
  4. Step 4: Simplify right side
    7,912x = 52,068,865.67
  5. Step 5: Solve for x
    x = 52,068,865.67/7,912
  6. Step 6: Final answer
    x = 6,581.00

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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.