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Finding the Fourth Proportional to 7,645.76, 10,549.92 and 6,595.52

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Solution

The fourth proportional to 7,645.76, 10,549.92 and 6,595.52 is: 9,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.76 : 10,549.92 = 6,595.52 : x
  2. Step 2: Convert to fraction form
    7,645.76/10,549.92 = 6,595.52/x
  3. Step 3: Cross multiply
    7,645.76x = 10,549.92 × 6,595.52
  4. Step 4: Simplify right side
    7,645.76x = 69,582,208.36
  5. Step 5: Solve for x
    x = 69,582,208.36/7,645.76
  6. Step 6: Final answer
    x = 9,100.76

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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.