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Finding the Fourth Proportional to 10,774.68, 14,864.48 and 6,580.52

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Solution

The fourth proportional to 10,774.68, 14,864.48 and 6,580.52 is: 9,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.68 : 14,864.48 = 6,580.52 : x
  2. Step 2: Convert to fraction form
    10,774.68/14,864.48 = 6,580.52/x
  3. Step 3: Cross multiply
    10,774.68x = 14,864.48 × 6,580.52
  4. Step 4: Simplify right side
    10,774.68x = 97,816,007.93
  5. Step 5: Solve for x
    x = 97,816,007.93/10,774.68
  6. Step 6: Final answer
    x = 9,078.32

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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.