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Finding the Fourth Proportional to 8,632.90, 11,913.03 and 4,856

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Solution

The fourth proportional to 8,632.90, 11,913.03 and 4,856 is: 6,701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.90 : 11,913.03 = 4,856 : x
  2. Step 2: Convert to fraction form
    8,632.90/11,913.03 = 4,856/x
  3. Step 3: Cross multiply
    8,632.90x = 11,913.03 × 4,856
  4. Step 4: Simplify right side
    8,632.90x = 57,849,673.68
  5. Step 5: Solve for x
    x = 57,849,673.68/8,632.90
  6. Step 6: Final answer
    x = 6,701.07

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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.