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Finding the Fourth Proportional to 8,038.65, 12,048.65 and 4,754.50

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Solution

The fourth proportional to 8,038.65, 12,048.65 and 4,754.50 is: 7,126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.65 : 12,048.65 = 4,754.50 : x
  2. Step 2: Convert to fraction form
    8,038.65/12,048.65 = 4,754.50/x
  3. Step 3: Cross multiply
    8,038.65x = 12,048.65 × 4,754.50
  4. Step 4: Simplify right side
    8,038.65x = 57,285,306.43
  5. Step 5: Solve for x
    x = 57,285,306.43/8,038.65
  6. Step 6: Final answer
    x = 7,126.23

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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.