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Finding the Fourth Proportional to 10,946.84, 16,435.46 and 7,607.22

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Solution

The fourth proportional to 10,946.84, 16,435.46 and 7,607.22 is: 11,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.84 : 16,435.46 = 7,607.22 : x
  2. Step 2: Convert to fraction form
    10,946.84/16,435.46 = 7,607.22/x
  3. Step 3: Cross multiply
    10,946.84x = 16,435.46 × 7,607.22
  4. Step 4: Simplify right side
    10,946.84x = 125,028,160.02
  5. Step 5: Solve for x
    x = 125,028,160.02/10,946.84
  6. Step 6: Final answer
    x = 11,421.39

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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.