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Finding the Fourth Proportional to 10,488.42, 14,472.18 and 6,296.76

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Solution

The fourth proportional to 10,488.42, 14,472.18 and 6,296.76 is: 8,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.42 : 14,472.18 = 6,296.76 : x
  2. Step 2: Convert to fraction form
    10,488.42/14,472.18 = 6,296.76/x
  3. Step 3: Cross multiply
    10,488.42x = 14,472.18 × 6,296.76
  4. Step 4: Simplify right side
    10,488.42x = 91,127,844.14
  5. Step 5: Solve for x
    x = 91,127,844.14/10,488.42
  6. Step 6: Final answer
    x = 8,688.42

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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.