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Finding the Fourth Proportional to 11,277.16, 15,562.50 and 6,309.16

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Solution

The fourth proportional to 11,277.16, 15,562.50 and 6,309.16 is: 8,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,277.16 : 15,562.50 = 6,309.16 : x
  2. Step 2: Convert to fraction form
    11,277.16/15,562.50 = 6,309.16/x
  3. Step 3: Cross multiply
    11,277.16x = 15,562.50 × 6,309.16
  4. Step 4: Simplify right side
    11,277.16x = 98,186,302.50
  5. Step 5: Solve for x
    x = 98,186,302.50/11,277.16
  6. Step 6: Final answer
    x = 8,706.65

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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.