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Finding the Fourth Proportional to 11,316.42, 15,616.42 and 6,280.35

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Solution

The fourth proportional to 11,316.42, 15,616.42 and 6,280.35 is: 8,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316.42 : 15,616.42 = 6,280.35 : x
  2. Step 2: Convert to fraction form
    11,316.42/15,616.42 = 6,280.35/x
  3. Step 3: Cross multiply
    11,316.42x = 15,616.42 × 6,280.35
  4. Step 4: Simplify right side
    11,316.42x = 98,076,513.12
  5. Step 5: Solve for x
    x = 98,076,513.12/11,316.42
  6. Step 6: Final answer
    x = 8,666.75

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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.