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Finding the Fourth Proportional to 10,742.63, 14,831.31 and 7,023.11

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Solution

The fourth proportional to 10,742.63, 14,831.31 and 7,023.11 is: 9,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.63 : 14,831.31 = 7,023.11 : x
  2. Step 2: Convert to fraction form
    10,742.63/14,831.31 = 7,023.11/x
  3. Step 3: Cross multiply
    10,742.63x = 14,831.31 × 7,023.11
  4. Step 4: Simplify right side
    10,742.63x = 104,161,847.42
  5. Step 5: Solve for x
    x = 104,161,847.42/10,742.63
  6. Step 6: Final answer
    x = 9,696.13

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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.