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Finding the Fourth Proportional to 7,766.84, 10,705.72 and 5,248.16

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Solution

The fourth proportional to 7,766.84, 10,705.72 and 5,248.16 is: 7,234.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.84 : 10,705.72 = 5,248.16 : x
  2. Step 2: Convert to fraction form
    7,766.84/10,705.72 = 5,248.16/x
  3. Step 3: Cross multiply
    7,766.84x = 10,705.72 × 5,248.16
  4. Step 4: Simplify right side
    7,766.84x = 56,185,331.48
  5. Step 5: Solve for x
    x = 56,185,331.48/7,766.84
  6. Step 6: Final answer
    x = 7,234.00

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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.