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Finding the Fourth Proportional to 7,645.76, 10,551.19 and 4,460.91

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Solution

The fourth proportional to 7,645.76, 10,551.19 and 4,460.91 is: 6,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.76 : 10,551.19 = 4,460.91 : x
  2. Step 2: Convert to fraction form
    7,645.76/10,551.19 = 4,460.91/x
  3. Step 3: Cross multiply
    7,645.76x = 10,551.19 × 4,460.91
  4. Step 4: Simplify right side
    7,645.76x = 47,067,908.98
  5. Step 5: Solve for x
    x = 47,067,908.98/7,645.76
  6. Step 6: Final answer
    x = 6,156.08

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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.