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Finding the Fourth Proportional to 10,447.60, 15,671.40 and 4,210.60

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Solution

The fourth proportional to 10,447.60, 15,671.40 and 4,210.60 is: 6,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.60 : 15,671.40 = 4,210.60 : x
  2. Step 2: Convert to fraction form
    10,447.60/15,671.40 = 4,210.60/x
  3. Step 3: Cross multiply
    10,447.60x = 15,671.40 × 4,210.60
  4. Step 4: Simplify right side
    10,447.60x = 65,985,996.84
  5. Step 5: Solve for x
    x = 65,985,996.84/10,447.60
  6. Step 6: Final answer
    x = 6,315.90

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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.