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Finding the Fourth Proportional to 7,808.85, 10,776.47 and 4,271.98

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Solution

The fourth proportional to 7,808.85, 10,776.47 and 4,271.98 is: 5,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.85 : 10,776.47 = 4,271.98 : x
  2. Step 2: Convert to fraction form
    7,808.85/10,776.47 = 4,271.98/x
  3. Step 3: Cross multiply
    7,808.85x = 10,776.47 × 4,271.98
  4. Step 4: Simplify right side
    7,808.85x = 46,036,864.31
  5. Step 5: Solve for x
    x = 46,036,864.31/7,808.85
  6. Step 6: Final answer
    x = 5,895.47

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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.