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Finding the Fourth Proportional to 10,480.56, 15,722.72 and 4,637.20

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Solution

The fourth proportional to 10,480.56, 15,722.72 and 4,637.20 is: 6,956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.56 : 15,722.72 = 4,637.20 : x
  2. Step 2: Convert to fraction form
    10,480.56/15,722.72 = 4,637.20/x
  3. Step 3: Cross multiply
    10,480.56x = 15,722.72 × 4,637.20
  4. Step 4: Simplify right side
    10,480.56x = 72,909,397.18
  5. Step 5: Solve for x
    x = 72,909,397.18/10,480.56
  6. Step 6: Final answer
    x = 6,956.63

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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.