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Finding the Fourth Proportional to 28,363.38, 42,541.85 and 7,588.50

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Solution

The fourth proportional to 28,363.38, 42,541.85 and 7,588.50 is: 11,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,363.38 : 42,541.85 = 7,588.50 : x
  2. Step 2: Convert to fraction form
    28,363.38/42,541.85 = 7,588.50/x
  3. Step 3: Cross multiply
    28,363.38x = 42,541.85 × 7,588.50
  4. Step 4: Simplify right side
    28,363.38x = 322,828,790.78
  5. Step 5: Solve for x
    x = 322,828,790.78/28,363.38
  6. Step 6: Final answer
    x = 11,381.89

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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.