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Finding the Fourth Proportional to 7,430.71, 10,235.79 and 5,659.24

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Solution

The fourth proportional to 7,430.71, 10,235.79 and 5,659.24 is: 7,795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.71 : 10,235.79 = 5,659.24 : x
  2. Step 2: Convert to fraction form
    7,430.71/10,235.79 = 5,659.24/x
  3. Step 3: Cross multiply
    7,430.71x = 10,235.79 × 5,659.24
  4. Step 4: Simplify right side
    7,430.71x = 57,926,792.20
  5. Step 5: Solve for x
    x = 57,926,792.20/7,430.71
  6. Step 6: Final answer
    x = 7,795.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.