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Finding the Fourth Proportional to 10,586.59, 14,602.50 and 6,803.77

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Solution

The fourth proportional to 10,586.59, 14,602.50 and 6,803.77 is: 9,384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.59 : 14,602.50 = 6,803.77 : x
  2. Step 2: Convert to fraction form
    10,586.59/14,602.50 = 6,803.77/x
  3. Step 3: Cross multiply
    10,586.59x = 14,602.50 × 6,803.77
  4. Step 4: Simplify right side
    10,586.59x = 99,352,051.43
  5. Step 5: Solve for x
    x = 99,352,051.43/10,586.59
  6. Step 6: Final answer
    x = 9,384.71

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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.