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Finding the Fourth Proportional to 28,458, 42,687 and 7,681.50

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Solution

The fourth proportional to 28,458, 42,687 and 7,681.50 is: 11,522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,458 : 42,687 = 7,681.50 : x
  2. Step 2: Convert to fraction form
    28,458/42,687 = 7,681.50/x
  3. Step 3: Cross multiply
    28,458x = 42,687 × 7,681.50
  4. Step 4: Simplify right side
    28,458x = 327,900,190.50
  5. Step 5: Solve for x
    x = 327,900,190.50/28,458
  6. Step 6: Final answer
    x = 11,522.25

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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.