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Finding the Fourth Proportional to 10,299.71, 15,454.19 and 4,750.08

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Solution

The fourth proportional to 10,299.71, 15,454.19 and 4,750.08 is: 7,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.71 : 15,454.19 = 4,750.08 : x
  2. Step 2: Convert to fraction form
    10,299.71/15,454.19 = 4,750.08/x
  3. Step 3: Cross multiply
    10,299.71x = 15,454.19 × 4,750.08
  4. Step 4: Simplify right side
    10,299.71x = 73,408,638.84
  5. Step 5: Solve for x
    x = 73,408,638.84/10,299.71
  6. Step 6: Final answer
    x = 7,127.25

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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.