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Finding the Fourth Proportional to 10,562.40, 15,817.68 and 7,089.12

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Solution

The fourth proportional to 10,562.40, 15,817.68 and 7,089.12 is: 10,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.40 : 15,817.68 = 7,089.12 : x
  2. Step 2: Convert to fraction form
    10,562.40/15,817.68 = 7,089.12/x
  3. Step 3: Cross multiply
    10,562.40x = 15,817.68 × 7,089.12
  4. Step 4: Simplify right side
    10,562.40x = 112,133,431.64
  5. Step 5: Solve for x
    x = 112,133,431.64/10,562.40
  6. Step 6: Final answer
    x = 10,616.28

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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.