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Finding the Fourth Proportional to 10,073.60, 13,900.51 and 5,824.00

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Solution

The fourth proportional to 10,073.60, 13,900.51 and 5,824.00 is: 8,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.60 : 13,900.51 = 5,824.00 : x
  2. Step 2: Convert to fraction form
    10,073.60/13,900.51 = 5,824.00/x
  3. Step 3: Cross multiply
    10,073.60x = 13,900.51 × 5,824.00
  4. Step 4: Simplify right side
    10,073.60x = 80,956,594.90
  5. Step 5: Solve for x
    x = 80,956,594.90/10,073.60
  6. Step 6: Final answer
    x = 8,036.51

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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.