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Finding the Fourth Proportional to 8,649.90, 11,937.76 and 5,294.95

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Solution

The fourth proportional to 8,649.90, 11,937.76 and 5,294.95 is: 7,307.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.90 : 11,937.76 = 5,294.95 : x
  2. Step 2: Convert to fraction form
    8,649.90/11,937.76 = 5,294.95/x
  3. Step 3: Cross multiply
    8,649.90x = 11,937.76 × 5,294.95
  4. Step 4: Simplify right side
    8,649.90x = 63,209,842.31
  5. Step 5: Solve for x
    x = 63,209,842.31/8,649.90
  6. Step 6: Final answer
    x = 7,307.58

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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.