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Finding the Fourth Proportional to 10,492.96, 15,724.32 and 6,050.45

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Solution

The fourth proportional to 10,492.96, 15,724.32 and 6,050.45 is: 9,066.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.96 : 15,724.32 = 6,050.45 : x
  2. Step 2: Convert to fraction form
    10,492.96/15,724.32 = 6,050.45/x
  3. Step 3: Cross multiply
    10,492.96x = 15,724.32 × 6,050.45
  4. Step 4: Simplify right side
    10,492.96x = 95,139,211.94
  5. Step 5: Solve for x
    x = 95,139,211.94/10,492.96
  6. Step 6: Final answer
    x = 9,066.96

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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.