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Finding the Fourth Proportional to 10,300.52, 15,438.88 and 4,742.21

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Solution

The fourth proportional to 10,300.52, 15,438.88 and 4,742.21 is: 7,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.52 : 15,438.88 = 4,742.21 : x
  2. Step 2: Convert to fraction form
    10,300.52/15,438.88 = 4,742.21/x
  3. Step 3: Cross multiply
    10,300.52x = 15,438.88 × 4,742.21
  4. Step 4: Simplify right side
    10,300.52x = 73,214,411.12
  5. Step 5: Solve for x
    x = 73,214,411.12/10,300.52
  6. Step 6: Final answer
    x = 7,107.84

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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.