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Finding the Fourth Proportional to 10,447.84, 15,671.84 and 2,656.64

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Solution

The fourth proportional to 10,447.84, 15,671.84 and 2,656.64 is: 3,984.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.84 : 15,671.84 = 2,656.64 : x
  2. Step 2: Convert to fraction form
    10,447.84/15,671.84 = 2,656.64/x
  3. Step 3: Cross multiply
    10,447.84x = 15,671.84 × 2,656.64
  4. Step 4: Simplify right side
    10,447.84x = 41,634,437.02
  5. Step 5: Solve for x
    x = 41,634,437.02/10,447.84
  6. Step 6: Final answer
    x = 3,984.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.