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Finding the Fourth Proportional to 10,558.02, 15,842.51 and 7,660.25

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Solution

The fourth proportional to 10,558.02, 15,842.51 and 7,660.25 is: 11,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.02 : 15,842.51 = 7,660.25 : x
  2. Step 2: Convert to fraction form
    10,558.02/15,842.51 = 7,660.25/x
  3. Step 3: Cross multiply
    10,558.02x = 15,842.51 × 7,660.25
  4. Step 4: Simplify right side
    10,558.02x = 121,357,469.71
  5. Step 5: Solve for x
    x = 121,357,469.71/10,558.02
  6. Step 6: Final answer
    x = 11,494.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.