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Finding the Fourth Proportional to 8,430.97, 12,650.51 and 4,534.87

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Solution

The fourth proportional to 8,430.97, 12,650.51 and 4,534.87 is: 6,804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.97 : 12,650.51 = 4,534.87 : x
  2. Step 2: Convert to fraction form
    8,430.97/12,650.51 = 4,534.87/x
  3. Step 3: Cross multiply
    8,430.97x = 12,650.51 × 4,534.87
  4. Step 4: Simplify right side
    8,430.97x = 57,368,395.61
  5. Step 5: Solve for x
    x = 57,368,395.61/8,430.97
  6. Step 6: Final answer
    x = 6,804.48

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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.