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Finding the Fourth Proportional to 10,657.44, 15,992.60 and 4,417.60

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Solution

The fourth proportional to 10,657.44, 15,992.60 and 4,417.60 is: 6,629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.44 : 15,992.60 = 4,417.60 : x
  2. Step 2: Convert to fraction form
    10,657.44/15,992.60 = 4,417.60/x
  3. Step 3: Cross multiply
    10,657.44x = 15,992.60 × 4,417.60
  4. Step 4: Simplify right side
    10,657.44x = 70,648,909.76
  5. Step 5: Solve for x
    x = 70,648,909.76/10,657.44
  6. Step 6: Final answer
    x = 6,629.07

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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.