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Finding the Fourth Proportional to 11,435.55, 15,780.87 and 6,656.43

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Solution

The fourth proportional to 11,435.55, 15,780.87 and 6,656.43 is: 9,185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.55 : 15,780.87 = 6,656.43 : x
  2. Step 2: Convert to fraction form
    11,435.55/15,780.87 = 6,656.43/x
  3. Step 3: Cross multiply
    11,435.55x = 15,780.87 × 6,656.43
  4. Step 4: Simplify right side
    11,435.55x = 105,044,256.49
  5. Step 5: Solve for x
    x = 105,044,256.49/11,435.55
  6. Step 6: Final answer
    x = 9,185.76

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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.