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Finding the Fourth Proportional to 10,492.36, 15,740.66 and 3,472.90

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Solution

The fourth proportional to 10,492.36, 15,740.66 and 3,472.90 is: 5,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.36 : 15,740.66 = 3,472.90 : x
  2. Step 2: Convert to fraction form
    10,492.36/15,740.66 = 3,472.90/x
  3. Step 3: Cross multiply
    10,492.36x = 15,740.66 × 3,472.90
  4. Step 4: Simplify right side
    10,492.36x = 54,665,738.11
  5. Step 5: Solve for x
    x = 54,665,738.11/10,492.36
  6. Step 6: Final answer
    x = 5,210.05

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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.