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Finding the Fourth Proportional to 10,392.41, 14,340.84 and 5,916.62

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Solution

The fourth proportional to 10,392.41, 14,340.84 and 5,916.62 is: 8,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.41 : 14,340.84 = 5,916.62 : x
  2. Step 2: Convert to fraction form
    10,392.41/14,340.84 = 5,916.62/x
  3. Step 3: Cross multiply
    10,392.41x = 14,340.84 × 5,916.62
  4. Step 4: Simplify right side
    10,392.41x = 84,849,300.76
  5. Step 5: Solve for x
    x = 84,849,300.76/10,392.41
  6. Step 6: Final answer
    x = 8,164.55

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