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Finding the Fourth Proportional to 10,567.40, 15,825.18 and 7,094.12

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Solution

The fourth proportional to 10,567.40, 15,825.18 and 7,094.12 is: 10,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.40 : 15,825.18 = 7,094.12 : x
  2. Step 2: Convert to fraction form
    10,567.40/15,825.18 = 7,094.12/x
  3. Step 3: Cross multiply
    10,567.40x = 15,825.18 × 7,094.12
  4. Step 4: Simplify right side
    10,567.40x = 112,265,725.94
  5. Step 5: Solve for x
    x = 112,265,725.94/10,567.40
  6. Step 6: Final answer
    x = 10,623.78

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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.