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Finding the Fourth Proportional to 7,816.66, 11,726.32 and 2,886.32

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Solution

The fourth proportional to 7,816.66, 11,726.32 and 2,886.32 is: 4,329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.66 : 11,726.32 = 2,886.32 : x
  2. Step 2: Convert to fraction form
    7,816.66/11,726.32 = 2,886.32/x
  3. Step 3: Cross multiply
    7,816.66x = 11,726.32 × 2,886.32
  4. Step 4: Simplify right side
    7,816.66x = 33,845,934.04
  5. Step 5: Solve for x
    x = 33,845,934.04/7,816.66
  6. Step 6: Final answer
    x = 4,329.98

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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.