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Finding the Fourth Proportional to 10,065.64, 15,097.09 and 3,827.22

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Solution

The fourth proportional to 10,065.64, 15,097.09 and 3,827.22 is: 5,740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.64 : 15,097.09 = 3,827.22 : x
  2. Step 2: Convert to fraction form
    10,065.64/15,097.09 = 3,827.22/x
  3. Step 3: Cross multiply
    10,065.64x = 15,097.09 × 3,827.22
  4. Step 4: Simplify right side
    10,065.64x = 57,779,884.79
  5. Step 5: Solve for x
    x = 57,779,884.79/10,065.64
  6. Step 6: Final answer
    x = 5,740.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.