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Finding the Fourth Proportional to 7,430.56, 11,132.17 and 4,656.71

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Solution

The fourth proportional to 7,430.56, 11,132.17 and 4,656.71 is: 6,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.56 : 11,132.17 = 4,656.71 : x
  2. Step 2: Convert to fraction form
    7,430.56/11,132.17 = 4,656.71/x
  3. Step 3: Cross multiply
    7,430.56x = 11,132.17 × 4,656.71
  4. Step 4: Simplify right side
    7,430.56x = 51,839,287.36
  5. Step 5: Solve for x
    x = 51,839,287.36/7,430.56
  6. Step 6: Final answer
    x = 6,976.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.