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Finding the Fourth Proportional to 11,708.80, 16,160.48 and 7,730.08

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Solution

The fourth proportional to 11,708.80, 16,160.48 and 7,730.08 is: 10,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.80 : 16,160.48 = 7,730.08 : x
  2. Step 2: Convert to fraction form
    11,708.80/16,160.48 = 7,730.08/x
  3. Step 3: Cross multiply
    11,708.80x = 16,160.48 × 7,730.08
  4. Step 4: Simplify right side
    11,708.80x = 124,921,803.24
  5. Step 5: Solve for x
    x = 124,921,803.24/11,708.80
  6. Step 6: Final answer
    x = 10,669.05

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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.