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Finding the Fourth Proportional to 12,586.68, 18,854.10 and 7,380

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Solution

The fourth proportional to 12,586.68, 18,854.10 and 7,380 is: 11,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.68 : 18,854.10 = 7,380 : x
  2. Step 2: Convert to fraction form
    12,586.68/18,854.10 = 7,380/x
  3. Step 3: Cross multiply
    12,586.68x = 18,854.10 × 7,380
  4. Step 4: Simplify right side
    12,586.68x = 139,143,258
  5. Step 5: Solve for x
    x = 139,143,258/12,586.68
  6. Step 6: Final answer
    x = 11,054.80

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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.