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Finding the Fourth Proportional to 8,582.56, 12,876.40 and 4,932

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Solution

The fourth proportional to 8,582.56, 12,876.40 and 4,932 is: 7,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.56 : 12,876.40 = 4,932 : x
  2. Step 2: Convert to fraction form
    8,582.56/12,876.40 = 4,932/x
  3. Step 3: Cross multiply
    8,582.56x = 12,876.40 × 4,932
  4. Step 4: Simplify right side
    8,582.56x = 63,506,404.80
  5. Step 5: Solve for x
    x = 63,506,404.80/8,582.56
  6. Step 6: Final answer
    x = 7,399.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.