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Finding the Fourth Proportional to 8,256.40, 12,390.64 and 5,140.96

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Solution

The fourth proportional to 8,256.40, 12,390.64 and 5,140.96 is: 7,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.40 : 12,390.64 = 5,140.96 : x
  2. Step 2: Convert to fraction form
    8,256.40/12,390.64 = 5,140.96/x
  3. Step 3: Cross multiply
    8,256.40x = 12,390.64 × 5,140.96
  4. Step 4: Simplify right side
    8,256.40x = 63,699,784.61
  5. Step 5: Solve for x
    x = 63,699,784.61/8,256.40
  6. Step 6: Final answer
    x = 7,715.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.