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Finding the Fourth Proportional to 7,151.51, 9,866.16 and 5,157.70

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Solution

The fourth proportional to 7,151.51, 9,866.16 and 5,157.70 is: 7,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.51 : 9,866.16 = 5,157.70 : x
  2. Step 2: Convert to fraction form
    7,151.51/9,866.16 = 5,157.70/x
  3. Step 3: Cross multiply
    7,151.51x = 9,866.16 × 5,157.70
  4. Step 4: Simplify right side
    7,151.51x = 50,886,668.77
  5. Step 5: Solve for x
    x = 50,886,668.77/7,151.51
  6. Step 6: Final answer
    x = 7,115.51

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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.