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Finding the Fourth Proportional to 11,580.30, 15,970.50 and 9,341.46

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Solution

The fourth proportional to 11,580.30, 15,970.50 and 9,341.46 is: 12,882.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.30 : 15,970.50 = 9,341.46 : x
  2. Step 2: Convert to fraction form
    11,580.30/15,970.50 = 9,341.46/x
  3. Step 3: Cross multiply
    11,580.30x = 15,970.50 × 9,341.46
  4. Step 4: Simplify right side
    11,580.30x = 149,187,786.93
  5. Step 5: Solve for x
    x = 149,187,786.93/11,580.30
  6. Step 6: Final answer
    x = 12,882.89

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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.