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Finding the Fourth Proportional to 10,048.72, 13,873.74 and 6,465.28

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Solution

The fourth proportional to 10,048.72, 13,873.74 and 6,465.28 is: 8,926.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.72 : 13,873.74 = 6,465.28 : x
  2. Step 2: Convert to fraction form
    10,048.72/13,873.74 = 6,465.28/x
  3. Step 3: Cross multiply
    10,048.72x = 13,873.74 × 6,465.28
  4. Step 4: Simplify right side
    10,048.72x = 89,697,613.75
  5. Step 5: Solve for x
    x = 89,697,613.75/10,048.72
  6. Step 6: Final answer
    x = 8,926.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.