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Finding the Fourth Proportional to 11,398.40, 15,730.40 and 6,683.04

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Solution

The fourth proportional to 11,398.40, 15,730.40 and 6,683.04 is: 9,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.40 : 15,730.40 = 6,683.04 : x
  2. Step 2: Convert to fraction form
    11,398.40/15,730.40 = 6,683.04/x
  3. Step 3: Cross multiply
    11,398.40x = 15,730.40 × 6,683.04
  4. Step 4: Simplify right side
    11,398.40x = 105,126,892.42
  5. Step 5: Solve for x
    x = 105,126,892.42/11,398.40
  6. Step 6: Final answer
    x = 9,222.95

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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.