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Finding the Fourth Proportional to 10,488.98, 14,474.59 and 5,708.85

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Solution

The fourth proportional to 10,488.98, 14,474.59 and 5,708.85 is: 7,878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.98 : 14,474.59 = 5,708.85 : x
  2. Step 2: Convert to fraction form
    10,488.98/14,474.59 = 5,708.85/x
  3. Step 3: Cross multiply
    10,488.98x = 14,474.59 × 5,708.85
  4. Step 4: Simplify right side
    10,488.98x = 82,633,263.12
  5. Step 5: Solve for x
    x = 82,633,263.12/10,488.98
  6. Step 6: Final answer
    x = 7,878.10

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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.