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Finding the Fourth Proportional to 10,515, 14,510.91 and 6,795.48

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Solution

The fourth proportional to 10,515, 14,510.91 and 6,795.48 is: 9,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515 : 14,510.91 = 6,795.48 : x
  2. Step 2: Convert to fraction form
    10,515/14,510.91 = 6,795.48/x
  3. Step 3: Cross multiply
    10,515x = 14,510.91 × 6,795.48
  4. Step 4: Simplify right side
    10,515x = 98,608,598.69
  5. Step 5: Solve for x
    x = 98,608,598.69/10,515
  6. Step 6: Final answer
    x = 9,377.90

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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.