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Finding the Fourth Proportional to 10,586.14, 15,879.35 and 7,298.35

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Solution

The fourth proportional to 10,586.14, 15,879.35 and 7,298.35 is: 10,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.14 : 15,879.35 = 7,298.35 : x
  2. Step 2: Convert to fraction form
    10,586.14/15,879.35 = 7,298.35/x
  3. Step 3: Cross multiply
    10,586.14x = 15,879.35 × 7,298.35
  4. Step 4: Simplify right side
    10,586.14x = 115,893,032.62
  5. Step 5: Solve for x
    x = 115,893,032.62/10,586.14
  6. Step 6: Final answer
    x = 10,947.62

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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.