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Finding the Fourth Proportional to 8,271.98, 11,417.13 and 5,088.01

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Solution

The fourth proportional to 8,271.98, 11,417.13 and 5,088.01 is: 7,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.98 : 11,417.13 = 5,088.01 : x
  2. Step 2: Convert to fraction form
    8,271.98/11,417.13 = 5,088.01/x
  3. Step 3: Cross multiply
    8,271.98x = 11,417.13 × 5,088.01
  4. Step 4: Simplify right side
    8,271.98x = 58,090,389.09
  5. Step 5: Solve for x
    x = 58,090,389.09/8,271.98
  6. Step 6: Final answer
    x = 7,022.55

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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.