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Finding the Fourth Proportional to 10,557.71, 15,838.82 and 3,894.23

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Solution

The fourth proportional to 10,557.71, 15,838.82 and 3,894.23 is: 5,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.71 : 15,838.82 = 3,894.23 : x
  2. Step 2: Convert to fraction form
    10,557.71/15,838.82 = 3,894.23/x
  3. Step 3: Cross multiply
    10,557.71x = 15,838.82 × 3,894.23
  4. Step 4: Simplify right side
    10,557.71x = 61,680,008.01
  5. Step 5: Solve for x
    x = 61,680,008.01/10,557.71
  6. Step 6: Final answer
    x = 5,842.18

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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.