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Finding the Fourth Proportional to 7,977.84, 11,011.32 and 5,498.16

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Solution

The fourth proportional to 7,977.84, 11,011.32 and 5,498.16 is: 7,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.84 : 11,011.32 = 5,498.16 : x
  2. Step 2: Convert to fraction form
    7,977.84/11,011.32 = 5,498.16/x
  3. Step 3: Cross multiply
    7,977.84x = 11,011.32 × 5,498.16
  4. Step 4: Simplify right side
    7,977.84x = 60,541,999.17
  5. Step 5: Solve for x
    x = 60,541,999.17/7,977.84
  6. Step 6: Final answer
    x = 7,588.77

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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.