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Finding the Fourth Proportional to 10,852.58, 14,976.72 and 6,136.76

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Solution

The fourth proportional to 10,852.58, 14,976.72 and 6,136.76 is: 8,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.58 : 14,976.72 = 6,136.76 : x
  2. Step 2: Convert to fraction form
    10,852.58/14,976.72 = 6,136.76/x
  3. Step 3: Cross multiply
    10,852.58x = 14,976.72 × 6,136.76
  4. Step 4: Simplify right side
    10,852.58x = 91,908,536.23
  5. Step 5: Solve for x
    x = 91,908,536.23/10,852.58
  6. Step 6: Final answer
    x = 8,468.82

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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.