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Finding the Fourth Proportional to 7,051.57, 9,731.25 and 4,534.50

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Solution

The fourth proportional to 7,051.57, 9,731.25 and 4,534.50 is: 6,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.57 : 9,731.25 = 4,534.50 : x
  2. Step 2: Convert to fraction form
    7,051.57/9,731.25 = 4,534.50/x
  3. Step 3: Cross multiply
    7,051.57x = 9,731.25 × 4,534.50
  4. Step 4: Simplify right side
    7,051.57x = 44,126,389.62
  5. Step 5: Solve for x
    x = 44,126,389.62/7,051.57
  6. Step 6: Final answer
    x = 6,257.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.