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Finding the Fourth Proportional to 10,884.16, 15,024.72 and 7,352.16

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Solution

The fourth proportional to 10,884.16, 15,024.72 and 7,352.16 is: 10,149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.16 : 15,024.72 = 7,352.16 : x
  2. Step 2: Convert to fraction form
    10,884.16/15,024.72 = 7,352.16/x
  3. Step 3: Cross multiply
    10,884.16x = 15,024.72 × 7,352.16
  4. Step 4: Simplify right side
    10,884.16x = 110,464,145.40
  5. Step 5: Solve for x
    x = 110,464,145.40/10,884.16
  6. Step 6: Final answer
    x = 10,149.07

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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.