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Finding the Fourth Proportional to 10,476.03, 15,718.23 and 3,907.74

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Solution

The fourth proportional to 10,476.03, 15,718.23 and 3,907.74 is: 5,863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.03 : 15,718.23 = 3,907.74 : x
  2. Step 2: Convert to fraction form
    10,476.03/15,718.23 = 3,907.74/x
  3. Step 3: Cross multiply
    10,476.03x = 15,718.23 × 3,907.74
  4. Step 4: Simplify right side
    10,476.03x = 61,422,756.10
  5. Step 5: Solve for x
    x = 61,422,756.10/10,476.03
  6. Step 6: Final answer
    x = 5,863.17

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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.