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Finding the Fourth Proportional to 10,430.12, 15,641.94 and 3,503

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Solution

The fourth proportional to 10,430.12, 15,641.94 and 3,503 is: 5,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.12 : 15,641.94 = 3,503 : x
  2. Step 2: Convert to fraction form
    10,430.12/15,641.94 = 3,503/x
  3. Step 3: Cross multiply
    10,430.12x = 15,641.94 × 3,503
  4. Step 4: Simplify right side
    10,430.12x = 54,793,715.82
  5. Step 5: Solve for x
    x = 54,793,715.82/10,430.12
  6. Step 6: Final answer
    x = 5,253.41

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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.