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Finding the Fourth Proportional to 7,728.98, 10,666.40 and 4,895.32

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Solution

The fourth proportional to 7,728.98, 10,666.40 and 4,895.32 is: 6,755.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.98 : 10,666.40 = 4,895.32 : x
  2. Step 2: Convert to fraction form
    7,728.98/10,666.40 = 4,895.32/x
  3. Step 3: Cross multiply
    7,728.98x = 10,666.40 × 4,895.32
  4. Step 4: Simplify right side
    7,728.98x = 52,215,387.92
  5. Step 5: Solve for x
    x = 52,215,387.92/7,728.98
  6. Step 6: Final answer
    x = 6,755.80

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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.