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Finding the Fourth Proportional to 11,471.34, 15,838.68 and 7,928.40

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Solution

The fourth proportional to 11,471.34, 15,838.68 and 7,928.40 is: 10,946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.34 : 15,838.68 = 7,928.40 : x
  2. Step 2: Convert to fraction form
    11,471.34/15,838.68 = 7,928.40/x
  3. Step 3: Cross multiply
    11,471.34x = 15,838.68 × 7,928.40
  4. Step 4: Simplify right side
    11,471.34x = 125,575,390.51
  5. Step 5: Solve for x
    x = 125,575,390.51/11,471.34
  6. Step 6: Final answer
    x = 10,946.88

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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.