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Finding the Fourth Proportional to 11,693.76, 16,140 and 6,981.60

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Solution

The fourth proportional to 11,693.76, 16,140 and 6,981.60 is: 9,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.76 : 16,140 = 6,981.60 : x
  2. Step 2: Convert to fraction form
    11,693.76/16,140 = 6,981.60/x
  3. Step 3: Cross multiply
    11,693.76x = 16,140 × 6,981.60
  4. Step 4: Simplify right side
    11,693.76x = 112,683,024
  5. Step 5: Solve for x
    x = 112,683,024/11,693.76
  6. Step 6: Final answer
    x = 9,636.17

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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.