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Finding the Fourth Proportional to 7,151.07, 10,714.74 and 5,060.71

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Solution

The fourth proportional to 7,151.07, 10,714.74 and 5,060.71 is: 7,582.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.07 : 10,714.74 = 5,060.71 : x
  2. Step 2: Convert to fraction form
    7,151.07/10,714.74 = 5,060.71/x
  3. Step 3: Cross multiply
    7,151.07x = 10,714.74 × 5,060.71
  4. Step 4: Simplify right side
    7,151.07x = 54,224,191.87
  5. Step 5: Solve for x
    x = 54,224,191.87/7,151.07
  6. Step 6: Final answer
    x = 7,582.67

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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.