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Finding the Fourth Proportional to 10,421, 15,636.62 and 4,576.84

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Solution

The fourth proportional to 10,421, 15,636.62 and 4,576.84 is: 6,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421 : 15,636.62 = 4,576.84 : x
  2. Step 2: Convert to fraction form
    10,421/15,636.62 = 4,576.84/x
  3. Step 3: Cross multiply
    10,421x = 15,636.62 × 4,576.84
  4. Step 4: Simplify right side
    10,421x = 71,566,307.88
  5. Step 5: Solve for x
    x = 71,566,307.88/10,421
  6. Step 6: Final answer
    x = 6,867.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.