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Finding the Fourth Proportional to 10,100.68, 15,152.46 and 4,903

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Solution

The fourth proportional to 10,100.68, 15,152.46 and 4,903 is: 7,355.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.68 : 15,152.46 = 4,903 : x
  2. Step 2: Convert to fraction form
    10,100.68/15,152.46 = 4,903/x
  3. Step 3: Cross multiply
    10,100.68x = 15,152.46 × 4,903
  4. Step 4: Simplify right side
    10,100.68x = 74,292,511.38
  5. Step 5: Solve for x
    x = 74,292,511.38/10,100.68
  6. Step 6: Final answer
    x = 7,355.20

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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.