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Finding the Fourth Proportional to 7,283, 10,907.28 and 4,641.08

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Solution

The fourth proportional to 7,283, 10,907.28 and 4,641.08 is: 6,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283 : 10,907.28 = 4,641.08 : x
  2. Step 2: Convert to fraction form
    7,283/10,907.28 = 4,641.08/x
  3. Step 3: Cross multiply
    7,283x = 10,907.28 × 4,641.08
  4. Step 4: Simplify right side
    7,283x = 50,621,559.06
  5. Step 5: Solve for x
    x = 50,621,559.06/7,283
  6. Step 6: Final answer
    x = 6,950.65

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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.