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Finding the Fourth Proportional to 10,499.95, 14,488.83 and 6,466.12

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Solution

The fourth proportional to 10,499.95, 14,488.83 and 6,466.12 is: 8,922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.95 : 14,488.83 = 6,466.12 : x
  2. Step 2: Convert to fraction form
    10,499.95/14,488.83 = 6,466.12/x
  3. Step 3: Cross multiply
    10,499.95x = 14,488.83 × 6,466.12
  4. Step 4: Simplify right side
    10,499.95x = 93,686,513.44
  5. Step 5: Solve for x
    x = 93,686,513.44/10,499.95
  6. Step 6: Final answer
    x = 8,922.57

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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.