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Finding the Fourth Proportional to 10,856.12, 14,976.41 and 7,503.59

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Solution

The fourth proportional to 10,856.12, 14,976.41 and 7,503.59 is: 10,351.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.12 : 14,976.41 = 7,503.59 : x
  2. Step 2: Convert to fraction form
    10,856.12/14,976.41 = 7,503.59/x
  3. Step 3: Cross multiply
    10,856.12x = 14,976.41 × 7,503.59
  4. Step 4: Simplify right side
    10,856.12x = 112,376,727.91
  5. Step 5: Solve for x
    x = 112,376,727.91/10,856.12
  6. Step 6: Final answer
    x = 10,351.47

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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.