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Finding the Fourth Proportional to 10,421.72, 15,621.60 and 6,473

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Solution

The fourth proportional to 10,421.72, 15,621.60 and 6,473 is: 9,702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.72 : 15,621.60 = 6,473 : x
  2. Step 2: Convert to fraction form
    10,421.72/15,621.60 = 6,473/x
  3. Step 3: Cross multiply
    10,421.72x = 15,621.60 × 6,473
  4. Step 4: Simplify right side
    10,421.72x = 101,118,616.80
  5. Step 5: Solve for x
    x = 101,118,616.80/10,421.72
  6. Step 6: Final answer
    x = 9,702.68

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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.