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Finding the Fourth Proportional to 11,151, 16,729.32 and 7,870.50

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Solution

The fourth proportional to 11,151, 16,729.32 and 7,870.50 is: 11,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151 : 16,729.32 = 7,870.50 : x
  2. Step 2: Convert to fraction form
    11,151/16,729.32 = 7,870.50/x
  3. Step 3: Cross multiply
    11,151x = 16,729.32 × 7,870.50
  4. Step 4: Simplify right side
    11,151x = 131,668,113.06
  5. Step 5: Solve for x
    x = 131,668,113.06/11,151
  6. Step 6: Final answer
    x = 11,807.74

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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.