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Finding the Fourth Proportional to 8,432.70, 12,656.70 and 4,275.60

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Solution

The fourth proportional to 8,432.70, 12,656.70 and 4,275.60 is: 6,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.70 : 12,656.70 = 4,275.60 : x
  2. Step 2: Convert to fraction form
    8,432.70/12,656.70 = 4,275.60/x
  3. Step 3: Cross multiply
    8,432.70x = 12,656.70 × 4,275.60
  4. Step 4: Simplify right side
    8,432.70x = 54,114,986.52
  5. Step 5: Solve for x
    x = 54,114,986.52/8,432.70
  6. Step 6: Final answer
    x = 6,417.28

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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.