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Finding the Fourth Proportional to 7,864.98, 10,851.88 and 5,741.67

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Solution

The fourth proportional to 7,864.98, 10,851.88 and 5,741.67 is: 7,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.98 : 10,851.88 = 5,741.67 : x
  2. Step 2: Convert to fraction form
    7,864.98/10,851.88 = 5,741.67/x
  3. Step 3: Cross multiply
    7,864.98x = 10,851.88 × 5,741.67
  4. Step 4: Simplify right side
    7,864.98x = 62,307,913.84
  5. Step 5: Solve for x
    x = 62,307,913.84/7,864.98
  6. Step 6: Final answer
    x = 7,922.20

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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.