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Finding the Fourth Proportional to 10,905.84, 15,056.12 and 7,507.80

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Solution

The fourth proportional to 10,905.84, 15,056.12 and 7,507.80 is: 10,364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.84 : 15,056.12 = 7,507.80 : x
  2. Step 2: Convert to fraction form
    10,905.84/15,056.12 = 7,507.80/x
  3. Step 3: Cross multiply
    10,905.84x = 15,056.12 × 7,507.80
  4. Step 4: Simplify right side
    10,905.84x = 113,038,337.74
  5. Step 5: Solve for x
    x = 113,038,337.74/10,905.84
  6. Step 6: Final answer
    x = 10,364.94

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