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Finding the Fourth Proportional to 10,575.36, 15,845.76 and 6,667.20

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Solution

The fourth proportional to 10,575.36, 15,845.76 and 6,667.20 is: 9,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.36 : 15,845.76 = 6,667.20 : x
  2. Step 2: Convert to fraction form
    10,575.36/15,845.76 = 6,667.20/x
  3. Step 3: Cross multiply
    10,575.36x = 15,845.76 × 6,667.20
  4. Step 4: Simplify right side
    10,575.36x = 105,646,851.07
  5. Step 5: Solve for x
    x = 105,646,851.07/10,575.36
  6. Step 6: Final answer
    x = 9,989.91

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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.