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Finding the Fourth Proportional to 10,624.92, 14,663.21 and 5,909.51

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Solution

The fourth proportional to 10,624.92, 14,663.21 and 5,909.51 is: 8,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.92 : 14,663.21 = 5,909.51 : x
  2. Step 2: Convert to fraction form
    10,624.92/14,663.21 = 5,909.51/x
  3. Step 3: Cross multiply
    10,624.92x = 14,663.21 × 5,909.51
  4. Step 4: Simplify right side
    10,624.92x = 86,652,283.26
  5. Step 5: Solve for x
    x = 86,652,283.26/10,624.92
  6. Step 6: Final answer
    x = 8,155.57

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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.