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Finding the Fourth Proportional to 8,275.53, 12,475.32 and 7,725.63

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Solution

The fourth proportional to 8,275.53, 12,475.32 and 7,725.63 is: 11,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.53 : 12,475.32 = 7,725.63 : x
  2. Step 2: Convert to fraction form
    8,275.53/12,475.32 = 7,725.63/x
  3. Step 3: Cross multiply
    8,275.53x = 12,475.32 × 7,725.63
  4. Step 4: Simplify right side
    8,275.53x = 96,379,706.45
  5. Step 5: Solve for x
    x = 96,379,706.45/8,275.53
  6. Step 6: Final answer
    x = 11,646.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.