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Finding the Fourth Proportional to 10,586.53, 14,602.70 and 6,803.18

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Solution

The fourth proportional to 10,586.53, 14,602.70 and 6,803.18 is: 9,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.53 : 14,602.70 = 6,803.18 : x
  2. Step 2: Convert to fraction form
    10,586.53/14,602.70 = 6,803.18/x
  3. Step 3: Cross multiply
    10,586.53x = 14,602.70 × 6,803.18
  4. Step 4: Simplify right side
    10,586.53x = 99,344,762.57
  5. Step 5: Solve for x
    x = 99,344,762.57/10,586.53
  6. Step 6: Final answer
    x = 9,384.08

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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.