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Finding the Fourth Proportional to 7,678.49, 11,510.44 and 3,001.50

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Solution

The fourth proportional to 7,678.49, 11,510.44 and 3,001.50 is: 4,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.49 : 11,510.44 = 3,001.50 : x
  2. Step 2: Convert to fraction form
    7,678.49/11,510.44 = 3,001.50/x
  3. Step 3: Cross multiply
    7,678.49x = 11,510.44 × 3,001.50
  4. Step 4: Simplify right side
    7,678.49x = 34,548,549.38
  5. Step 5: Solve for x
    x = 34,548,549.38/7,678.49
  6. Step 6: Final answer
    x = 4,499.39

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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.