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Finding the Fourth Proportional to 8,407.48, 12,598.26 and 5,323

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Solution

The fourth proportional to 8,407.48, 12,598.26 and 5,323 is: 7,976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.48 : 12,598.26 = 5,323 : x
  2. Step 2: Convert to fraction form
    8,407.48/12,598.26 = 5,323/x
  3. Step 3: Cross multiply
    8,407.48x = 12,598.26 × 5,323
  4. Step 4: Simplify right side
    8,407.48x = 67,060,537.98
  5. Step 5: Solve for x
    x = 67,060,537.98/8,407.48
  6. Step 6: Final answer
    x = 7,976.29

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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.