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Finding the Fourth Proportional to 10,586.46, 14,605.11 and 6,808.98

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Solution

The fourth proportional to 10,586.46, 14,605.11 and 6,808.98 is: 9,393.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.46 : 14,605.11 = 6,808.98 : x
  2. Step 2: Convert to fraction form
    10,586.46/14,605.11 = 6,808.98/x
  3. Step 3: Cross multiply
    10,586.46x = 14,605.11 × 6,808.98
  4. Step 4: Simplify right side
    10,586.46x = 99,445,901.89
  5. Step 5: Solve for x
    x = 99,445,901.89/10,586.46
  6. Step 6: Final answer
    x = 9,393.69

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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.