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Finding the Fourth Proportional to 11,792.84, 16,281.98 and 9,099.16

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Solution

The fourth proportional to 11,792.84, 16,281.98 and 9,099.16 is: 12,562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.84 : 16,281.98 = 9,099.16 : x
  2. Step 2: Convert to fraction form
    11,792.84/16,281.98 = 9,099.16/x
  3. Step 3: Cross multiply
    11,792.84x = 16,281.98 × 9,099.16
  4. Step 4: Simplify right side
    11,792.84x = 148,152,341.14
  5. Step 5: Solve for x
    x = 148,152,341.14/11,792.84
  6. Step 6: Final answer
    x = 12,562.91

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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.