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Finding the Fourth Proportional to 10,477.44, 15,712.96 and 4,320

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Solution

The fourth proportional to 10,477.44, 15,712.96 and 4,320 is: 6,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.44 : 15,712.96 = 4,320 : x
  2. Step 2: Convert to fraction form
    10,477.44/15,712.96 = 4,320/x
  3. Step 3: Cross multiply
    10,477.44x = 15,712.96 × 4,320
  4. Step 4: Simplify right side
    10,477.44x = 67,879,987.20
  5. Step 5: Solve for x
    x = 67,879,987.20/10,477.44
  6. Step 6: Final answer
    x = 6,478.68

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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.