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Finding the Fourth Proportional to 10,690.34, 16,024.58 and 5,415.58

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Solution

The fourth proportional to 10,690.34, 16,024.58 and 5,415.58 is: 8,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.34 : 16,024.58 = 5,415.58 : x
  2. Step 2: Convert to fraction form
    10,690.34/16,024.58 = 5,415.58/x
  3. Step 3: Cross multiply
    10,690.34x = 16,024.58 × 5,415.58
  4. Step 4: Simplify right side
    10,690.34x = 86,782,287.76
  5. Step 5: Solve for x
    x = 86,782,287.76/10,690.34
  6. Step 6: Final answer
    x = 8,117.82

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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.