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Finding the Fourth Proportional to 11,870.40, 16,381.19 and 6,492.92

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Solution

The fourth proportional to 11,870.40, 16,381.19 and 6,492.92 is: 8,960.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.40 : 16,381.19 = 6,492.92 : x
  2. Step 2: Convert to fraction form
    11,870.40/16,381.19 = 6,492.92/x
  3. Step 3: Cross multiply
    11,870.40x = 16,381.19 × 6,492.92
  4. Step 4: Simplify right side
    11,870.40x = 106,361,641.80
  5. Step 5: Solve for x
    x = 106,361,641.80/11,870.40
  6. Step 6: Final answer
    x = 8,960.24

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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.