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Finding the Fourth Proportional to 10,430.90, 15,647.16 and 3,035.48

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Solution

The fourth proportional to 10,430.90, 15,647.16 and 3,035.48 is: 4,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.90 : 15,647.16 = 3,035.48 : x
  2. Step 2: Convert to fraction form
    10,430.90/15,647.16 = 3,035.48/x
  3. Step 3: Cross multiply
    10,430.90x = 15,647.16 × 3,035.48
  4. Step 4: Simplify right side
    10,430.90x = 47,496,641.24
  5. Step 5: Solve for x
    x = 47,496,641.24/10,430.90
  6. Step 6: Final answer
    x = 4,553.46

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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.