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Finding the Fourth Proportional to 10,557.84, 15,837.73 and 2,766.66

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Solution

The fourth proportional to 10,557.84, 15,837.73 and 2,766.66 is: 4,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.84 : 15,837.73 = 2,766.66 : x
  2. Step 2: Convert to fraction form
    10,557.84/15,837.73 = 2,766.66/x
  3. Step 3: Cross multiply
    10,557.84x = 15,837.73 × 2,766.66
  4. Step 4: Simplify right side
    10,557.84x = 43,817,547.77
  5. Step 5: Solve for x
    x = 43,817,547.77/10,557.84
  6. Step 6: Final answer
    x = 4,150.24

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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.