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Finding the Fourth Proportional to 7,645.75, 10,551.15 and 4,461.24

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Solution

The fourth proportional to 7,645.75, 10,551.15 and 4,461.24 is: 6,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.75 : 10,551.15 = 4,461.24 : x
  2. Step 2: Convert to fraction form
    7,645.75/10,551.15 = 4,461.24/x
  3. Step 3: Cross multiply
    7,645.75x = 10,551.15 × 4,461.24
  4. Step 4: Simplify right side
    7,645.75x = 47,071,175.51
  5. Step 5: Solve for x
    x = 47,071,175.51/7,645.75
  6. Step 6: Final answer
    x = 6,156.51

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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.