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Finding the Fourth Proportional to 10,402.14, 15,602.75 and 2,905.74

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Solution

The fourth proportional to 10,402.14, 15,602.75 and 2,905.74 is: 4,358.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.14 : 15,602.75 = 2,905.74 : x
  2. Step 2: Convert to fraction form
    10,402.14/15,602.75 = 2,905.74/x
  3. Step 3: Cross multiply
    10,402.14x = 15,602.75 × 2,905.74
  4. Step 4: Simplify right side
    10,402.14x = 45,337,581.06
  5. Step 5: Solve for x
    x = 45,337,581.06/10,402.14
  6. Step 6: Final answer
    x = 4,358.49

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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.