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Finding the Fourth Proportional to 6,502.06, 8,968.08 and 5,014.90

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Solution

The fourth proportional to 6,502.06, 8,968.08 and 5,014.90 is: 6,916.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.06 : 8,968.08 = 5,014.90 : x
  2. Step 2: Convert to fraction form
    6,502.06/8,968.08 = 5,014.90/x
  3. Step 3: Cross multiply
    6,502.06x = 8,968.08 × 5,014.90
  4. Step 4: Simplify right side
    6,502.06x = 44,974,024.39
  5. Step 5: Solve for x
    x = 44,974,024.39/6,502.06
  6. Step 6: Final answer
    x = 6,916.89

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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.