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Finding the Fourth Proportional to 10,506.40, 15,763.20 and 4,667.20

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Solution

The fourth proportional to 10,506.40, 15,763.20 and 4,667.20 is: 7,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.40 : 15,763.20 = 4,667.20 : x
  2. Step 2: Convert to fraction form
    10,506.40/15,763.20 = 4,667.20/x
  3. Step 3: Cross multiply
    10,506.40x = 15,763.20 × 4,667.20
  4. Step 4: Simplify right side
    10,506.40x = 73,570,007.04
  5. Step 5: Solve for x
    x = 73,570,007.04/10,506.40
  6. Step 6: Final answer
    x = 7,002.40

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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.