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Finding the Fourth Proportional to 10,492.63, 15,739.01 and 2,701.51

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Solution

The fourth proportional to 10,492.63, 15,739.01 and 2,701.51 is: 4,052.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.63 : 15,739.01 = 2,701.51 : x
  2. Step 2: Convert to fraction form
    10,492.63/15,739.01 = 2,701.51/x
  3. Step 3: Cross multiply
    10,492.63x = 15,739.01 × 2,701.51
  4. Step 4: Simplify right side
    10,492.63x = 42,519,092.91
  5. Step 5: Solve for x
    x = 42,519,092.91/10,492.63
  6. Step 6: Final answer
    x = 4,052.28

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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.