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Finding the Fourth Proportional to 10,568.34, 14,575.86 and 7,214.94

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Solution

The fourth proportional to 10,568.34, 14,575.86 and 7,214.94 is: 9,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.34 : 14,575.86 = 7,214.94 : x
  2. Step 2: Convert to fraction form
    10,568.34/14,575.86 = 7,214.94/x
  3. Step 3: Cross multiply
    10,568.34x = 14,575.86 × 7,214.94
  4. Step 4: Simplify right side
    10,568.34x = 105,163,955.35
  5. Step 5: Solve for x
    x = 105,163,955.35/10,568.34
  6. Step 6: Final answer
    x = 9,950.85

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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.