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Finding the Fourth Proportional to 10,023.40, 13,833.48 and 5,831.64

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Solution

The fourth proportional to 10,023.40, 13,833.48 and 5,831.64 is: 8,048.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.40 : 13,833.48 = 5,831.64 : x
  2. Step 2: Convert to fraction form
    10,023.40/13,833.48 = 5,831.64/x
  3. Step 3: Cross multiply
    10,023.40x = 13,833.48 × 5,831.64
  4. Step 4: Simplify right side
    10,023.40x = 80,671,875.31
  5. Step 5: Solve for x
    x = 80,671,875.31/10,023.40
  6. Step 6: Final answer
    x = 8,048.35

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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.