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Finding the Fourth Proportional to 10,645.16, 14,690.16 and 5,929.48

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Solution

The fourth proportional to 10,645.16, 14,690.16 and 5,929.48 is: 8,182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.16 : 14,690.16 = 5,929.48 : x
  2. Step 2: Convert to fraction form
    10,645.16/14,690.16 = 5,929.48/x
  3. Step 3: Cross multiply
    10,645.16x = 14,690.16 × 5,929.48
  4. Step 4: Simplify right side
    10,645.16x = 87,105,009.92
  5. Step 5: Solve for x
    x = 87,105,009.92/10,645.16
  6. Step 6: Final answer
    x = 8,182.59

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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.