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Finding the Fourth Proportional to 12,868.58, 17,752.98 and 7,830.92

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Solution

The fourth proportional to 12,868.58, 17,752.98 and 7,830.92 is: 10,803.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868.58 : 17,752.98 = 7,830.92 : x
  2. Step 2: Convert to fraction form
    12,868.58/17,752.98 = 7,830.92/x
  3. Step 3: Cross multiply
    12,868.58x = 17,752.98 × 7,830.92
  4. Step 4: Simplify right side
    12,868.58x = 139,022,166.14
  5. Step 5: Solve for x
    x = 139,022,166.14/12,868.58
  6. Step 6: Final answer
    x = 10,803.23

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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.