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Finding the Fourth Proportional to 7,710.90, 11,566.36 and 4,938.88

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Solution

The fourth proportional to 7,710.90, 11,566.36 and 4,938.88 is: 7,408.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.90 : 11,566.36 = 4,938.88 : x
  2. Step 2: Convert to fraction form
    7,710.90/11,566.36 = 4,938.88/x
  3. Step 3: Cross multiply
    7,710.90x = 11,566.36 × 4,938.88
  4. Step 4: Simplify right side
    7,710.90x = 57,124,864.08
  5. Step 5: Solve for x
    x = 57,124,864.08/7,710.90
  6. Step 6: Final answer
    x = 7,408.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.