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Finding the Fourth Proportional to 7,735.25, 10,672.20 and 4,547.53

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Solution

The fourth proportional to 7,735.25, 10,672.20 and 4,547.53 is: 6,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.25 : 10,672.20 = 4,547.53 : x
  2. Step 2: Convert to fraction form
    7,735.25/10,672.20 = 4,547.53/x
  3. Step 3: Cross multiply
    7,735.25x = 10,672.20 × 4,547.53
  4. Step 4: Simplify right side
    7,735.25x = 48,532,149.67
  5. Step 5: Solve for x
    x = 48,532,149.67/7,735.25
  6. Step 6: Final answer
    x = 6,274.15

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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.