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Finding the Fourth Proportional to 10,506.88, 15,756.48 and 5,309.12

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Solution

The fourth proportional to 10,506.88, 15,756.48 and 5,309.12 is: 7,961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.88 : 15,756.48 = 5,309.12 : x
  2. Step 2: Convert to fraction form
    10,506.88/15,756.48 = 5,309.12/x
  3. Step 3: Cross multiply
    10,506.88x = 15,756.48 × 5,309.12
  4. Step 4: Simplify right side
    10,506.88x = 83,653,043.10
  5. Step 5: Solve for x
    x = 83,653,043.10/10,506.88
  6. Step 6: Final answer
    x = 7,961.74

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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.