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Finding the Fourth Proportional to 8,271.66, 11,417.57 and 5,295.52

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Solution

The fourth proportional to 8,271.66, 11,417.57 and 5,295.52 is: 7,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.66 : 11,417.57 = 5,295.52 : x
  2. Step 2: Convert to fraction form
    8,271.66/11,417.57 = 5,295.52/x
  3. Step 3: Cross multiply
    8,271.66x = 11,417.57 × 5,295.52
  4. Step 4: Simplify right side
    8,271.66x = 60,461,970.29
  5. Step 5: Solve for x
    x = 60,461,970.29/8,271.66
  6. Step 6: Final answer
    x = 7,309.53

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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.