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Finding the Fourth Proportional to 11,618.46, 16,038.38 and 7,846.74

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Solution

The fourth proportional to 11,618.46, 16,038.38 and 7,846.74 is: 10,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.46 : 16,038.38 = 7,846.74 : x
  2. Step 2: Convert to fraction form
    11,618.46/16,038.38 = 7,846.74/x
  3. Step 3: Cross multiply
    11,618.46x = 16,038.38 × 7,846.74
  4. Step 4: Simplify right side
    11,618.46x = 125,849,017.50
  5. Step 5: Solve for x
    x = 125,849,017.50/11,618.46
  6. Step 6: Final answer
    x = 10,831.82

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Why These Related Problems?

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