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Finding the Fourth Proportional to 10,864.02, 14,992.56 and 7,089.60

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Solution

The fourth proportional to 10,864.02, 14,992.56 and 7,089.60 is: 9,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.02 : 14,992.56 = 7,089.60 : x
  2. Step 2: Convert to fraction form
    10,864.02/14,992.56 = 7,089.60/x
  3. Step 3: Cross multiply
    10,864.02x = 14,992.56 × 7,089.60
  4. Step 4: Simplify right side
    10,864.02x = 106,291,253.38
  5. Step 5: Solve for x
    x = 106,291,253.38/10,864.02
  6. Step 6: Final answer
    x = 9,783.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.