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Finding the Fourth Proportional to 11,785.74, 16,264.90 and 7,310.93

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Solution

The fourth proportional to 11,785.74, 16,264.90 and 7,310.93 is: 10,089.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.74 : 16,264.90 = 7,310.93 : x
  2. Step 2: Convert to fraction form
    11,785.74/16,264.90 = 7,310.93/x
  3. Step 3: Cross multiply
    11,785.74x = 16,264.90 × 7,310.93
  4. Step 4: Simplify right side
    11,785.74x = 118,911,539.76
  5. Step 5: Solve for x
    x = 118,911,539.76/11,785.74
  6. Step 6: Final answer
    x = 10,089.44

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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.