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Finding the Fourth Proportional to 11,780.59, 16,253.71 and 10,657.93

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Solution

The fourth proportional to 11,780.59, 16,253.71 and 10,657.93 is: 14,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.59 : 16,253.71 = 10,657.93 : x
  2. Step 2: Convert to fraction form
    11,780.59/16,253.71 = 10,657.93/x
  3. Step 3: Cross multiply
    11,780.59x = 16,253.71 × 10,657.93
  4. Step 4: Simplify right side
    11,780.59x = 173,230,903.42
  5. Step 5: Solve for x
    x = 173,230,903.42/11,780.59
  6. Step 6: Final answer
    x = 14,704.77

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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.