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Finding the Fourth Proportional to 7,482.84, 11,225.52 and 2,287.50

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Solution

The fourth proportional to 7,482.84, 11,225.52 and 2,287.50 is: 3,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.84 : 11,225.52 = 2,287.50 : x
  2. Step 2: Convert to fraction form
    7,482.84/11,225.52 = 2,287.50/x
  3. Step 3: Cross multiply
    7,482.84x = 11,225.52 × 2,287.50
  4. Step 4: Simplify right side
    7,482.84x = 25,678,377
  5. Step 5: Solve for x
    x = 25,678,377/7,482.84
  6. Step 6: Final answer
    x = 3,431.64

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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.