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Finding the Fourth Proportional to 10,510.40, 15,774.24 and 7,451.84

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Solution

The fourth proportional to 10,510.40, 15,774.24 and 7,451.84 is: 11,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.40 : 15,774.24 = 7,451.84 : x
  2. Step 2: Convert to fraction form
    10,510.40/15,774.24 = 7,451.84/x
  3. Step 3: Cross multiply
    10,510.40x = 15,774.24 × 7,451.84
  4. Step 4: Simplify right side
    10,510.40x = 117,547,112.60
  5. Step 5: Solve for x
    x = 117,547,112.60/10,510.40
  6. Step 6: Final answer
    x = 11,183.89

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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.