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Finding the Fourth Proportional to 7,071.80, 10,607.69 and 4,148.51

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Solution

The fourth proportional to 7,071.80, 10,607.69 and 4,148.51 is: 6,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.80 : 10,607.69 = 4,148.51 : x
  2. Step 2: Convert to fraction form
    7,071.80/10,607.69 = 4,148.51/x
  3. Step 3: Cross multiply
    7,071.80x = 10,607.69 × 4,148.51
  4. Step 4: Simplify right side
    7,071.80x = 44,006,034.26
  5. Step 5: Solve for x
    x = 44,006,034.26/7,071.80
  6. Step 6: Final answer
    x = 6,222.75

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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.