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Finding the Fourth Proportional to 7,257.04, 10,866.98 and 4,784.28

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Solution

The fourth proportional to 7,257.04, 10,866.98 and 4,784.28 is: 7,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.04 : 10,866.98 = 4,784.28 : x
  2. Step 2: Convert to fraction form
    7,257.04/10,866.98 = 4,784.28/x
  3. Step 3: Cross multiply
    7,257.04x = 10,866.98 × 4,784.28
  4. Step 4: Simplify right side
    7,257.04x = 51,990,675.07
  5. Step 5: Solve for x
    x = 51,990,675.07/7,257.04
  6. Step 6: Final answer
    x = 7,164.17

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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.