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Finding the Fourth Proportional to 7,588.48, 10,466.16 and 4,936.74

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Solution

The fourth proportional to 7,588.48, 10,466.16 and 4,936.74 is: 6,808.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.48 : 10,466.16 = 4,936.74 : x
  2. Step 2: Convert to fraction form
    7,588.48/10,466.16 = 4,936.74/x
  3. Step 3: Cross multiply
    7,588.48x = 10,466.16 × 4,936.74
  4. Step 4: Simplify right side
    7,588.48x = 51,668,710.72
  5. Step 5: Solve for x
    x = 51,668,710.72/7,588.48
  6. Step 6: Final answer
    x = 6,808.84

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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.