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Finding the Fourth Proportional to 10,466.70, 15,700.06 and 3,892.03

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Solution

The fourth proportional to 10,466.70, 15,700.06 and 3,892.03 is: 5,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.70 : 15,700.06 = 3,892.03 : x
  2. Step 2: Convert to fraction form
    10,466.70/15,700.06 = 3,892.03/x
  3. Step 3: Cross multiply
    10,466.70x = 15,700.06 × 3,892.03
  4. Step 4: Simplify right side
    10,466.70x = 61,105,085.06
  5. Step 5: Solve for x
    x = 61,105,085.06/10,466.70
  6. Step 6: Final answer
    x = 5,838.05

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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.