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Finding the Fourth Proportional to 28,358.62, 42,534.69 and 7,583.74

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Solution

The fourth proportional to 28,358.62, 42,534.69 and 7,583.74 is: 11,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,358.62 : 42,534.69 = 7,583.74 : x
  2. Step 2: Convert to fraction form
    28,358.62/42,534.69 = 7,583.74/x
  3. Step 3: Cross multiply
    28,358.62x = 42,534.69 × 7,583.74
  4. Step 4: Simplify right side
    28,358.62x = 322,572,029.94
  5. Step 5: Solve for x
    x = 322,572,029.94/28,358.62
  6. Step 6: Final answer
    x = 11,374.74

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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.