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Finding the Fourth Proportional to 11,429.69, 15,774.65 and 6,952.57

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Solution

The fourth proportional to 11,429.69, 15,774.65 and 6,952.57 is: 9,595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.69 : 15,774.65 = 6,952.57 : x
  2. Step 2: Convert to fraction form
    11,429.69/15,774.65 = 6,952.57/x
  3. Step 3: Cross multiply
    11,429.69x = 15,774.65 × 6,952.57
  4. Step 4: Simplify right side
    11,429.69x = 109,674,284.15
  5. Step 5: Solve for x
    x = 109,674,284.15/11,429.69
  6. Step 6: Final answer
    x = 9,595.56

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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.