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Finding the Fourth Proportional to 10,305, 15,444.83 and 4,750.64

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Solution

The fourth proportional to 10,305, 15,444.83 and 4,750.64 is: 7,120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305 : 15,444.83 = 4,750.64 : x
  2. Step 2: Convert to fraction form
    10,305/15,444.83 = 4,750.64/x
  3. Step 3: Cross multiply
    10,305x = 15,444.83 × 4,750.64
  4. Step 4: Simplify right side
    10,305x = 73,372,827.19
  5. Step 5: Solve for x
    x = 73,372,827.19/10,305
  6. Step 6: Final answer
    x = 7,120.12

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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.