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Finding the Fourth Proportional to 10,774.07, 14,868.32 and 6,582.32

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Solution

The fourth proportional to 10,774.07, 14,868.32 and 6,582.32 is: 9,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.07 : 14,868.32 = 6,582.32 : x
  2. Step 2: Convert to fraction form
    10,774.07/14,868.32 = 6,582.32/x
  3. Step 3: Cross multiply
    10,774.07x = 14,868.32 × 6,582.32
  4. Step 4: Simplify right side
    10,774.07x = 97,867,932.85
  5. Step 5: Solve for x
    x = 97,867,932.85/10,774.07
  6. Step 6: Final answer
    x = 9,083.66

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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.