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Finding the Fourth Proportional to 11,580.28, 15,970.14 and 7,806.52

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Solution

The fourth proportional to 11,580.28, 15,970.14 and 7,806.52 is: 10,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.28 : 15,970.14 = 7,806.52 : x
  2. Step 2: Convert to fraction form
    11,580.28/15,970.14 = 7,806.52/x
  3. Step 3: Cross multiply
    11,580.28x = 15,970.14 × 7,806.52
  4. Step 4: Simplify right side
    11,580.28x = 124,671,217.31
  5. Step 5: Solve for x
    x = 124,671,217.31/11,580.28
  6. Step 6: Final answer
    x = 10,765.82

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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.