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Finding the Fourth Proportional to 7,430.76, 10,255.68 and 5,659.02

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Solution

The fourth proportional to 7,430.76, 10,255.68 and 5,659.02 is: 7,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.76 : 10,255.68 = 5,659.02 : x
  2. Step 2: Convert to fraction form
    7,430.76/10,255.68 = 5,659.02/x
  3. Step 3: Cross multiply
    7,430.76x = 10,255.68 × 5,659.02
  4. Step 4: Simplify right side
    7,430.76x = 58,037,098.23
  5. Step 5: Solve for x
    x = 58,037,098.23/7,430.76
  6. Step 6: Final answer
    x = 7,810.39

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Why These Related Problems?

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