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Finding the Fourth Proportional to 10,046.53, 15,072.53 and 4,852.41

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Solution

The fourth proportional to 10,046.53, 15,072.53 and 4,852.41 is: 7,279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.53 : 15,072.53 = 4,852.41 : x
  2. Step 2: Convert to fraction form
    10,046.53/15,072.53 = 4,852.41/x
  3. Step 3: Cross multiply
    10,046.53x = 15,072.53 × 4,852.41
  4. Step 4: Simplify right side
    10,046.53x = 73,138,041.81
  5. Step 5: Solve for x
    x = 73,138,041.81/10,046.53
  6. Step 6: Final answer
    x = 7,279.93

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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.