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Finding the Fourth Proportional to 7,145.82, 10,714.95 and 4,681.98

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Solution

The fourth proportional to 7,145.82, 10,714.95 and 4,681.98 is: 7,020.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.82 : 10,714.95 = 4,681.98 : x
  2. Step 2: Convert to fraction form
    7,145.82/10,714.95 = 4,681.98/x
  3. Step 3: Cross multiply
    7,145.82x = 10,714.95 × 4,681.98
  4. Step 4: Simplify right side
    7,145.82x = 50,167,181.60
  5. Step 5: Solve for x
    x = 50,167,181.60/7,145.82
  6. Step 6: Final answer
    x = 7,020.49

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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.