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Finding the Fourth Proportional to 10,617.79, 14,648.47 and 6,840.66

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Solution

The fourth proportional to 10,617.79, 14,648.47 and 6,840.66 is: 9,437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.79 : 14,648.47 = 6,840.66 : x
  2. Step 2: Convert to fraction form
    10,617.79/14,648.47 = 6,840.66/x
  3. Step 3: Cross multiply
    10,617.79x = 14,648.47 × 6,840.66
  4. Step 4: Simplify right side
    10,617.79x = 100,205,202.79
  5. Step 5: Solve for x
    x = 100,205,202.79/10,617.79
  6. Step 6: Final answer
    x = 9,437.48

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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.