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Finding the Fourth Proportional to 8,356.61, 12,526.47 and 5,238.80

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Solution

The fourth proportional to 8,356.61, 12,526.47 and 5,238.80 is: 7,852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.61 : 12,526.47 = 5,238.80 : x
  2. Step 2: Convert to fraction form
    8,356.61/12,526.47 = 5,238.80/x
  3. Step 3: Cross multiply
    8,356.61x = 12,526.47 × 5,238.80
  4. Step 4: Simplify right side
    8,356.61x = 65,623,671.04
  5. Step 5: Solve for x
    x = 65,623,671.04/8,356.61
  6. Step 6: Final answer
    x = 7,852.91

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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.