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Finding the Fourth Proportional to 6,715.84, 10,064.56 and 5,071.04

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Solution

The fourth proportional to 6,715.84, 10,064.56 and 5,071.04 is: 7,599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.84 : 10,064.56 = 5,071.04 : x
  2. Step 2: Convert to fraction form
    6,715.84/10,064.56 = 5,071.04/x
  3. Step 3: Cross multiply
    6,715.84x = 10,064.56 × 5,071.04
  4. Step 4: Simplify right side
    6,715.84x = 51,037,786.34
  5. Step 5: Solve for x
    x = 51,037,786.34/6,715.84
  6. Step 6: Final answer
    x = 7,599.61

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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.