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Finding the Fourth Proportional to 10,427.60, 14,389.44 and 5,711.60

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Solution

The fourth proportional to 10,427.60, 14,389.44 and 5,711.60 is: 7,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.60 : 14,389.44 = 5,711.60 : x
  2. Step 2: Convert to fraction form
    10,427.60/14,389.44 = 5,711.60/x
  3. Step 3: Cross multiply
    10,427.60x = 14,389.44 × 5,711.60
  4. Step 4: Simplify right side
    10,427.60x = 82,186,725.50
  5. Step 5: Solve for x
    x = 82,186,725.50/10,427.60
  6. Step 6: Final answer
    x = 7,881.65

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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.