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Finding the Fourth Proportional to 10,430.48, 15,648.92 and 3,504.40

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Solution

The fourth proportional to 10,430.48, 15,648.92 and 3,504.40 is: 5,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.48 : 15,648.92 = 3,504.40 : x
  2. Step 2: Convert to fraction form
    10,430.48/15,648.92 = 3,504.40/x
  3. Step 3: Cross multiply
    10,430.48x = 15,648.92 × 3,504.40
  4. Step 4: Simplify right side
    10,430.48x = 54,840,075.25
  5. Step 5: Solve for x
    x = 54,840,075.25/10,430.48
  6. Step 6: Final answer
    x = 5,257.68

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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.