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Finding the Fourth Proportional to 10,390.60, 14,343.78 and 7,409.80

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Solution

The fourth proportional to 10,390.60, 14,343.78 and 7,409.80 is: 10,228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.60 : 14,343.78 = 7,409.80 : x
  2. Step 2: Convert to fraction form
    10,390.60/14,343.78 = 7,409.80/x
  3. Step 3: Cross multiply
    10,390.60x = 14,343.78 × 7,409.80
  4. Step 4: Simplify right side
    10,390.60x = 106,284,541.04
  5. Step 5: Solve for x
    x = 106,284,541.04/10,390.60
  6. Step 6: Final answer
    x = 10,228.91

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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.