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Finding the Fourth Proportional to 11,710.08, 16,155.36 and 7,733.52

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Solution

The fourth proportional to 11,710.08, 16,155.36 and 7,733.52 is: 10,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.08 : 16,155.36 = 7,733.52 : x
  2. Step 2: Convert to fraction form
    11,710.08/16,155.36 = 7,733.52/x
  3. Step 3: Cross multiply
    11,710.08x = 16,155.36 × 7,733.52
  4. Step 4: Simplify right side
    11,710.08x = 124,937,799.67
  5. Step 5: Solve for x
    x = 124,937,799.67/11,710.08
  6. Step 6: Final answer
    x = 10,669.25

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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.