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Finding the Fourth Proportional to 10,350.70, 14,281.78 and 7,158.86

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Solution

The fourth proportional to 10,350.70, 14,281.78 and 7,158.86 is: 9,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350.70 : 14,281.78 = 7,158.86 : x
  2. Step 2: Convert to fraction form
    10,350.70/14,281.78 = 7,158.86/x
  3. Step 3: Cross multiply
    10,350.70x = 14,281.78 × 7,158.86
  4. Step 4: Simplify right side
    10,350.70x = 102,241,263.57
  5. Step 5: Solve for x
    x = 102,241,263.57/10,350.70
  6. Step 6: Final answer
    x = 9,877.71

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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.