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Finding the Fourth Proportional to 10,835.65, 14,953.89 and 6,357.76

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Solution

The fourth proportional to 10,835.65, 14,953.89 and 6,357.76 is: 8,774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.65 : 14,953.89 = 6,357.76 : x
  2. Step 2: Convert to fraction form
    10,835.65/14,953.89 = 6,357.76/x
  3. Step 3: Cross multiply
    10,835.65x = 14,953.89 × 6,357.76
  4. Step 4: Simplify right side
    10,835.65x = 95,073,243.69
  5. Step 5: Solve for x
    x = 95,073,243.69/10,835.65
  6. Step 6: Final answer
    x = 8,774.12

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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.