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Finding the Fourth Proportional to 10,620, 15,935.76 and 5,148

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Solution

The fourth proportional to 10,620, 15,935.76 and 5,148 is: 7,724.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620 : 15,935.76 = 5,148 : x
  2. Step 2: Convert to fraction form
    10,620/15,935.76 = 5,148/x
  3. Step 3: Cross multiply
    10,620x = 15,935.76 × 5,148
  4. Step 4: Simplify right side
    10,620x = 82,037,292.48
  5. Step 5: Solve for x
    x = 82,037,292.48/10,620
  6. Step 6: Final answer
    x = 7,724.79

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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.