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Finding the Fourth Proportional to 10,123.34, 15,186.62 and 4,280

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Solution

The fourth proportional to 10,123.34, 15,186.62 and 4,280 is: 6,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.34 : 15,186.62 = 4,280 : x
  2. Step 2: Convert to fraction form
    10,123.34/15,186.62 = 4,280/x
  3. Step 3: Cross multiply
    10,123.34x = 15,186.62 × 4,280
  4. Step 4: Simplify right side
    10,123.34x = 64,998,733.60
  5. Step 5: Solve for x
    x = 64,998,733.60/10,123.34
  6. Step 6: Final answer
    x = 6,420.68

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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.