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Finding the Fourth Proportional to 7,810.84, 11,705.94 and 4,680.76

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Solution

The fourth proportional to 7,810.84, 11,705.94 and 4,680.76 is: 7,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.84 : 11,705.94 = 4,680.76 : x
  2. Step 2: Convert to fraction form
    7,810.84/11,705.94 = 4,680.76/x
  3. Step 3: Cross multiply
    7,810.84x = 11,705.94 × 4,680.76
  4. Step 4: Simplify right side
    7,810.84x = 54,792,695.71
  5. Step 5: Solve for x
    x = 54,792,695.71/7,810.84
  6. Step 6: Final answer
    x = 7,014.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.