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Finding the Fourth Proportional to 6,586.52, 9,876.13 and 2,693.66

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Solution

The fourth proportional to 6,586.52, 9,876.13 and 2,693.66 is: 4,038.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.52 : 9,876.13 = 2,693.66 : x
  2. Step 2: Convert to fraction form
    6,586.52/9,876.13 = 2,693.66/x
  3. Step 3: Cross multiply
    6,586.52x = 9,876.13 × 2,693.66
  4. Step 4: Simplify right side
    6,586.52x = 26,602,880.22
  5. Step 5: Solve for x
    x = 26,602,880.22/6,586.52
  6. Step 6: Final answer
    x = 4,038.99

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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.