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Finding the Fourth Proportional to 7,000.29, 10,491.53 and 3,714.93

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Solution

The fourth proportional to 7,000.29, 10,491.53 and 3,714.93 is: 5,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.29 : 10,491.53 = 3,714.93 : x
  2. Step 2: Convert to fraction form
    7,000.29/10,491.53 = 3,714.93/x
  3. Step 3: Cross multiply
    7,000.29x = 10,491.53 × 3,714.93
  4. Step 4: Simplify right side
    7,000.29x = 38,975,280.97
  5. Step 5: Solve for x
    x = 38,975,280.97/7,000.29
  6. Step 6: Final answer
    x = 5,567.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.