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Finding the Fourth Proportional to 10,446.76, 15,675.13 and 4,602.60

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Solution

The fourth proportional to 10,446.76, 15,675.13 and 4,602.60 is: 6,906.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.76 : 15,675.13 = 4,602.60 : x
  2. Step 2: Convert to fraction form
    10,446.76/15,675.13 = 4,602.60/x
  3. Step 3: Cross multiply
    10,446.76x = 15,675.13 × 4,602.60
  4. Step 4: Simplify right side
    10,446.76x = 72,146,353.34
  5. Step 5: Solve for x
    x = 72,146,353.34/10,446.76
  6. Step 6: Final answer
    x = 6,906.10

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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.