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Finding the Fourth Proportional to 10,260.84, 15,397.74 and 4,026

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Solution

The fourth proportional to 10,260.84, 15,397.74 and 4,026 is: 6,041.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,260.84 : 15,397.74 = 4,026 : x
  2. Step 2: Convert to fraction form
    10,260.84/15,397.74 = 4,026/x
  3. Step 3: Cross multiply
    10,260.84x = 15,397.74 × 4,026
  4. Step 4: Simplify right side
    10,260.84x = 61,991,301.24
  5. Step 5: Solve for x
    x = 61,991,301.24/10,260.84
  6. Step 6: Final answer
    x = 6,041.54

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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.