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Finding the Fourth Proportional to 10,510.89, 14,505.66 and 5,795.16

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Solution

The fourth proportional to 10,510.89, 14,505.66 and 5,795.16 is: 7,997.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.89 : 14,505.66 = 5,795.16 : x
  2. Step 2: Convert to fraction form
    10,510.89/14,505.66 = 5,795.16/x
  3. Step 3: Cross multiply
    10,510.89x = 14,505.66 × 5,795.16
  4. Step 4: Simplify right side
    10,510.89x = 84,062,620.61
  5. Step 5: Solve for x
    x = 84,062,620.61/10,510.89
  6. Step 6: Final answer
    x = 7,997.67

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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.