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Finding the Fourth Proportional to 10,095.39, 15,137.31 and 4,256.10

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Solution

The fourth proportional to 10,095.39, 15,137.31 and 4,256.10 is: 6,381.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.39 : 15,137.31 = 4,256.10 : x
  2. Step 2: Convert to fraction form
    10,095.39/15,137.31 = 4,256.10/x
  3. Step 3: Cross multiply
    10,095.39x = 15,137.31 × 4,256.10
  4. Step 4: Simplify right side
    10,095.39x = 64,425,905.09
  5. Step 5: Solve for x
    x = 64,425,905.09/10,095.39
  6. Step 6: Final answer
    x = 6,381.72

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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.