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Finding the Fourth Proportional to 10,473, 15,712.73 and 3,077.60

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Solution

The fourth proportional to 10,473, 15,712.73 and 3,077.60 is: 4,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473 : 15,712.73 = 3,077.60 : x
  2. Step 2: Convert to fraction form
    10,473/15,712.73 = 3,077.60/x
  3. Step 3: Cross multiply
    10,473x = 15,712.73 × 3,077.60
  4. Step 4: Simplify right side
    10,473x = 48,357,403.90
  5. Step 5: Solve for x
    x = 48,357,403.90/10,473
  6. Step 6: Final answer
    x = 4,617.34

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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.