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Finding the Fourth Proportional to 11,430.57, 15,739.12 and 10,006.29

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Solution

The fourth proportional to 11,430.57, 15,739.12 and 10,006.29 is: 13,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.57 : 15,739.12 = 10,006.29 : x
  2. Step 2: Convert to fraction form
    11,430.57/15,739.12 = 10,006.29/x
  3. Step 3: Cross multiply
    11,430.57x = 15,739.12 × 10,006.29
  4. Step 4: Simplify right side
    11,430.57x = 157,490,152.55
  5. Step 5: Solve for x
    x = 157,490,152.55/11,430.57
  6. Step 6: Final answer
    x = 13,777.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.