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Finding the Fourth Proportional to 10,300.10, 15,446.55 and 5,368.10

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Solution

The fourth proportional to 10,300.10, 15,446.55 and 5,368.10 is: 8,050.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.10 : 15,446.55 = 5,368.10 : x
  2. Step 2: Convert to fraction form
    10,300.10/15,446.55 = 5,368.10/x
  3. Step 3: Cross multiply
    10,300.10x = 15,446.55 × 5,368.10
  4. Step 4: Simplify right side
    10,300.10x = 82,918,625.06
  5. Step 5: Solve for x
    x = 82,918,625.06/10,300.10
  6. Step 6: Final answer
    x = 8,050.27

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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.