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Finding the Fourth Proportional to 10,366.60, 14,300 and 6,386.86

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Solution

The fourth proportional to 10,366.60, 14,300 and 6,386.86 is: 8,810.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.60 : 14,300 = 6,386.86 : x
  2. Step 2: Convert to fraction form
    10,366.60/14,300 = 6,386.86/x
  3. Step 3: Cross multiply
    10,366.60x = 14,300 × 6,386.86
  4. Step 4: Simplify right side
    10,366.60x = 91,332,098
  5. Step 5: Solve for x
    x = 91,332,098/10,366.60
  6. Step 6: Final answer
    x = 8,810.23

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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.