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Finding the Fourth Proportional to 10,584.32, 15,876.65 and 5,036.54

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Solution

The fourth proportional to 10,584.32, 15,876.65 and 5,036.54 is: 7,554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.32 : 15,876.65 = 5,036.54 : x
  2. Step 2: Convert to fraction form
    10,584.32/15,876.65 = 5,036.54/x
  3. Step 3: Cross multiply
    10,584.32x = 15,876.65 × 5,036.54
  4. Step 4: Simplify right side
    10,584.32x = 79,963,278.23
  5. Step 5: Solve for x
    x = 79,963,278.23/10,584.32
  6. Step 6: Final answer
    x = 7,554.88

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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.