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Finding the Fourth Proportional to 8,493.23, 11,726.50 and 5,307.91

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Solution

The fourth proportional to 8,493.23, 11,726.50 and 5,307.91 is: 7,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.23 : 11,726.50 = 5,307.91 : x
  2. Step 2: Convert to fraction form
    8,493.23/11,726.50 = 5,307.91/x
  3. Step 3: Cross multiply
    8,493.23x = 11,726.50 × 5,307.91
  4. Step 4: Simplify right side
    8,493.23x = 62,243,206.62
  5. Step 5: Solve for x
    x = 62,243,206.62/8,493.23
  6. Step 6: Final answer
    x = 7,328.57

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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.