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Finding the Fourth Proportional to 10,518.87, 15,756.84 and 6,557.16

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Solution

The fourth proportional to 10,518.87, 15,756.84 and 6,557.16 is: 9,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.87 : 15,756.84 = 6,557.16 : x
  2. Step 2: Convert to fraction form
    10,518.87/15,756.84 = 6,557.16/x
  3. Step 3: Cross multiply
    10,518.87x = 15,756.84 × 6,557.16
  4. Step 4: Simplify right side
    10,518.87x = 103,320,120.97
  5. Step 5: Solve for x
    x = 103,320,120.97/10,518.87
  6. Step 6: Final answer
    x = 9,822.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.