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Finding the Fourth Proportional to 10,582.46, 14,603.72 and 5,866.72

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Solution

The fourth proportional to 10,582.46, 14,603.72 and 5,866.72 is: 8,096.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.46 : 14,603.72 = 5,866.72 : x
  2. Step 2: Convert to fraction form
    10,582.46/14,603.72 = 5,866.72/x
  3. Step 3: Cross multiply
    10,582.46x = 14,603.72 × 5,866.72
  4. Step 4: Simplify right side
    10,582.46x = 85,675,936.20
  5. Step 5: Solve for x
    x = 85,675,936.20/10,582.46
  6. Step 6: Final answer
    x = 8,096.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.