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Finding the Fourth Proportional to 11,585.48, 15,988.02 and 6,280.28

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Solution

The fourth proportional to 11,585.48, 15,988.02 and 6,280.28 is: 8,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.48 : 15,988.02 = 6,280.28 : x
  2. Step 2: Convert to fraction form
    11,585.48/15,988.02 = 6,280.28/x
  3. Step 3: Cross multiply
    11,585.48x = 15,988.02 × 6,280.28
  4. Step 4: Simplify right side
    11,585.48x = 100,409,242.25
  5. Step 5: Solve for x
    x = 100,409,242.25/11,585.48
  6. Step 6: Final answer
    x = 8,666.82

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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.