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Finding the Fourth Proportional to 11,566.48, 15,955.58 and 7,783.20

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Solution

The fourth proportional to 11,566.48, 15,955.58 and 7,783.20 is: 10,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.48 : 15,955.58 = 7,783.20 : x
  2. Step 2: Convert to fraction form
    11,566.48/15,955.58 = 7,783.20/x
  3. Step 3: Cross multiply
    11,566.48x = 15,955.58 × 7,783.20
  4. Step 4: Simplify right side
    11,566.48x = 124,185,470.26
  5. Step 5: Solve for x
    x = 124,185,470.26/11,566.48
  6. Step 6: Final answer
    x = 10,736.67

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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.