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Finding the Fourth Proportional to 8,484.84, 11,700.24 and 5,127

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Solution

The fourth proportional to 8,484.84, 11,700.24 and 5,127 is: 7,069.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.84 : 11,700.24 = 5,127 : x
  2. Step 2: Convert to fraction form
    8,484.84/11,700.24 = 5,127/x
  3. Step 3: Cross multiply
    8,484.84x = 11,700.24 × 5,127
  4. Step 4: Simplify right side
    8,484.84x = 59,987,130.48
  5. Step 5: Solve for x
    x = 59,987,130.48/8,484.84
  6. Step 6: Final answer
    x = 7,069.92

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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.