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Finding the Fourth Proportional to 10,663.48, 14,719.27 and 6,416.92

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Solution

The fourth proportional to 10,663.48, 14,719.27 and 6,416.92 is: 8,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.48 : 14,719.27 = 6,416.92 : x
  2. Step 2: Convert to fraction form
    10,663.48/14,719.27 = 6,416.92/x
  3. Step 3: Cross multiply
    10,663.48x = 14,719.27 × 6,416.92
  4. Step 4: Simplify right side
    10,663.48x = 94,452,378.05
  5. Step 5: Solve for x
    x = 94,452,378.05/10,663.48
  6. Step 6: Final answer
    x = 8,857.56

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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.