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Finding the Fourth Proportional to 10,277.99, 15,415.92 and 6,104.77

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Solution

The fourth proportional to 10,277.99, 15,415.92 and 6,104.77 is: 9,156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.99 : 15,415.92 = 6,104.77 : x
  2. Step 2: Convert to fraction form
    10,277.99/15,415.92 = 6,104.77/x
  3. Step 3: Cross multiply
    10,277.99x = 15,415.92 × 6,104.77
  4. Step 4: Simplify right side
    10,277.99x = 94,110,607.40
  5. Step 5: Solve for x
    x = 94,110,607.40/10,277.99
  6. Step 6: Final answer
    x = 9,156.52

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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.