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Finding the Fourth Proportional to 10,499.84, 15,752.96 and 4,957.44

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Solution

The fourth proportional to 10,499.84, 15,752.96 and 4,957.44 is: 7,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.84 : 15,752.96 = 4,957.44 : x
  2. Step 2: Convert to fraction form
    10,499.84/15,752.96 = 4,957.44/x
  3. Step 3: Cross multiply
    10,499.84x = 15,752.96 × 4,957.44
  4. Step 4: Simplify right side
    10,499.84x = 78,094,354.02
  5. Step 5: Solve for x
    x = 78,094,354.02/10,499.84
  6. Step 6: Final answer
    x = 7,437.67

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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.