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Finding the Fourth Proportional to 11,316.16, 15,616.67 and 6,280.75

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Solution

The fourth proportional to 11,316.16, 15,616.67 and 6,280.75 is: 8,667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316.16 : 15,616.67 = 6,280.75 : x
  2. Step 2: Convert to fraction form
    11,316.16/15,616.67 = 6,280.75/x
  3. Step 3: Cross multiply
    11,316.16x = 15,616.67 × 6,280.75
  4. Step 4: Simplify right side
    11,316.16x = 98,084,400.10
  5. Step 5: Solve for x
    x = 98,084,400.10/11,316.16
  6. Step 6: Final answer
    x = 8,667.64

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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.