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Finding the Fourth Proportional to 7,284.40, 10,925.28 and 2,089

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Solution

The fourth proportional to 7,284.40, 10,925.28 and 2,089 is: 3,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.40 : 10,925.28 = 2,089 : x
  2. Step 2: Convert to fraction form
    7,284.40/10,925.28 = 2,089/x
  3. Step 3: Cross multiply
    7,284.40x = 10,925.28 × 2,089
  4. Step 4: Simplify right side
    7,284.40x = 22,822,909.92
  5. Step 5: Solve for x
    x = 22,822,909.92/7,284.40
  6. Step 6: Final answer
    x = 3,133.12

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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.