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Finding the Fourth Proportional to 10,354.83, 15,521.40 and 4,509.87

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Solution

The fourth proportional to 10,354.83, 15,521.40 and 4,509.87 is: 6,760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.83 : 15,521.40 = 4,509.87 : x
  2. Step 2: Convert to fraction form
    10,354.83/15,521.40 = 4,509.87/x
  3. Step 3: Cross multiply
    10,354.83x = 15,521.40 × 4,509.87
  4. Step 4: Simplify right side
    10,354.83x = 69,999,496.22
  5. Step 5: Solve for x
    x = 69,999,496.22/10,354.83
  6. Step 6: Final answer
    x = 6,760.08

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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.