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Finding the Fourth Proportional to 10,665.86, 14,719.56 and 7,074.50

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Solution

The fourth proportional to 10,665.86, 14,719.56 and 7,074.50 is: 9,763.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.86 : 14,719.56 = 7,074.50 : x
  2. Step 2: Convert to fraction form
    10,665.86/14,719.56 = 7,074.50/x
  3. Step 3: Cross multiply
    10,665.86x = 14,719.56 × 7,074.50
  4. Step 4: Simplify right side
    10,665.86x = 104,133,527.22
  5. Step 5: Solve for x
    x = 104,133,527.22/10,665.86
  6. Step 6: Final answer
    x = 9,763.26

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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.