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Finding the Fourth Proportional to 10,845.40, 16,232.10 and 7,875.40

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Solution

The fourth proportional to 10,845.40, 16,232.10 and 7,875.40 is: 11,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,845.40 : 16,232.10 = 7,875.40 : x
  2. Step 2: Convert to fraction form
    10,845.40/16,232.10 = 7,875.40/x
  3. Step 3: Cross multiply
    10,845.40x = 16,232.10 × 7,875.40
  4. Step 4: Simplify right side
    10,845.40x = 127,834,280.34
  5. Step 5: Solve for x
    x = 127,834,280.34/10,845.40
  6. Step 6: Final answer
    x = 11,786.96

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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.