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Finding the Fourth Proportional to 7,260, 10,872.47 and 4,130.52

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Solution

The fourth proportional to 7,260, 10,872.47 and 4,130.52 is: 6,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260 : 10,872.47 = 4,130.52 : x
  2. Step 2: Convert to fraction form
    7,260/10,872.47 = 4,130.52/x
  3. Step 3: Cross multiply
    7,260x = 10,872.47 × 4,130.52
  4. Step 4: Simplify right side
    7,260x = 44,908,934.13
  5. Step 5: Solve for x
    x = 44,908,934.13/7,260
  6. Step 6: Final answer
    x = 6,185.80

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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.