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Finding the Fourth Proportional to 10,538.70, 15,808.32 and 4,990.74

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Solution

The fourth proportional to 10,538.70, 15,808.32 and 4,990.74 is: 7,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.70 : 15,808.32 = 4,990.74 : x
  2. Step 2: Convert to fraction form
    10,538.70/15,808.32 = 4,990.74/x
  3. Step 3: Cross multiply
    10,538.70x = 15,808.32 × 4,990.74
  4. Step 4: Simplify right side
    10,538.70x = 78,895,214.96
  5. Step 5: Solve for x
    x = 78,895,214.96/10,538.70
  6. Step 6: Final answer
    x = 7,486.24

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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.