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Finding the Fourth Proportional to 10,160.40, 14,022.66 and 5,684.40

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Solution

The fourth proportional to 10,160.40, 14,022.66 and 5,684.40 is: 7,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.40 : 14,022.66 = 5,684.40 : x
  2. Step 2: Convert to fraction form
    10,160.40/14,022.66 = 5,684.40/x
  3. Step 3: Cross multiply
    10,160.40x = 14,022.66 × 5,684.40
  4. Step 4: Simplify right side
    10,160.40x = 79,710,340.55
  5. Step 5: Solve for x
    x = 79,710,340.55/10,160.40
  6. Step 6: Final answer
    x = 7,845.20

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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.