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Finding the Fourth Proportional to 11,465.68, 15,815.92 and 7,210

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Solution

The fourth proportional to 11,465.68, 15,815.92 and 7,210 is: 9,945.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.68 : 15,815.92 = 7,210 : x
  2. Step 2: Convert to fraction form
    11,465.68/15,815.92 = 7,210/x
  3. Step 3: Cross multiply
    11,465.68x = 15,815.92 × 7,210
  4. Step 4: Simplify right side
    11,465.68x = 114,032,783.20
  5. Step 5: Solve for x
    x = 114,032,783.20/11,465.68
  6. Step 6: Final answer
    x = 9,945.58

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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.