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Finding the Fourth Proportional to 10,354.65, 15,529.37 and 2,959.15

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Solution

The fourth proportional to 10,354.65, 15,529.37 and 2,959.15 is: 4,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.65 : 15,529.37 = 2,959.15 : x
  2. Step 2: Convert to fraction form
    10,354.65/15,529.37 = 2,959.15/x
  3. Step 3: Cross multiply
    10,354.65x = 15,529.37 × 2,959.15
  4. Step 4: Simplify right side
    10,354.65x = 45,953,727.38
  5. Step 5: Solve for x
    x = 45,953,727.38/10,354.65
  6. Step 6: Final answer
    x = 4,437.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.