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Finding the Fourth Proportional to 11,870.84, 16,381.86 and 7,154.12

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Solution

The fourth proportional to 11,870.84, 16,381.86 and 7,154.12 is: 9,872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.84 : 16,381.86 = 7,154.12 : x
  2. Step 2: Convert to fraction form
    11,870.84/16,381.86 = 7,154.12/x
  3. Step 3: Cross multiply
    11,870.84x = 16,381.86 × 7,154.12
  4. Step 4: Simplify right side
    11,870.84x = 117,197,792.26
  5. Step 5: Solve for x
    x = 117,197,792.26/11,870.84
  6. Step 6: Final answer
    x = 9,872.75

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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.