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Finding the Fourth Proportional to 10,655.37, 14,702.98 and 6,462.81

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Solution

The fourth proportional to 10,655.37, 14,702.98 and 6,462.81 is: 8,917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.37 : 14,702.98 = 6,462.81 : x
  2. Step 2: Convert to fraction form
    10,655.37/14,702.98 = 6,462.81/x
  3. Step 3: Cross multiply
    10,655.37x = 14,702.98 × 6,462.81
  4. Step 4: Simplify right side
    10,655.37x = 95,022,566.17
  5. Step 5: Solve for x
    x = 95,022,566.17/10,655.37
  6. Step 6: Final answer
    x = 8,917.81

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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.