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Finding the Fourth Proportional to 8,266.86, 11,406.91 and 4,730.07

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Solution

The fourth proportional to 8,266.86, 11,406.91 and 4,730.07 is: 6,526.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.86 : 11,406.91 = 4,730.07 : x
  2. Step 2: Convert to fraction form
    8,266.86/11,406.91 = 4,730.07/x
  3. Step 3: Cross multiply
    8,266.86x = 11,406.91 × 4,730.07
  4. Step 4: Simplify right side
    8,266.86x = 53,955,510.48
  5. Step 5: Solve for x
    x = 53,955,510.48/8,266.86
  6. Step 6: Final answer
    x = 6,526.72

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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.