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Finding the Fourth Proportional to 11,493.66, 15,867.90 and 7,521.70

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Solution

The fourth proportional to 11,493.66, 15,867.90 and 7,521.70 is: 10,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.66 : 15,867.90 = 7,521.70 : x
  2. Step 2: Convert to fraction form
    11,493.66/15,867.90 = 7,521.70/x
  3. Step 3: Cross multiply
    11,493.66x = 15,867.90 × 7,521.70
  4. Step 4: Simplify right side
    11,493.66x = 119,353,545.82
  5. Step 5: Solve for x
    x = 119,353,545.82/11,493.66
  6. Step 6: Final answer
    x = 10,384.30

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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.