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Finding the Fourth Proportional to 10,975.76, 15,136.44 and 9,712.16

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Solution

The fourth proportional to 10,975.76, 15,136.44 and 9,712.16 is: 13,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.76 : 15,136.44 = 9,712.16 : x
  2. Step 2: Convert to fraction form
    10,975.76/15,136.44 = 9,712.16/x
  3. Step 3: Cross multiply
    10,975.76x = 15,136.44 × 9,712.16
  4. Step 4: Simplify right side
    10,975.76x = 147,007,527.11
  5. Step 5: Solve for x
    x = 147,007,527.11/10,975.76
  6. Step 6: Final answer
    x = 13,393.84

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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.