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Finding the Fourth Proportional to 10,586.42, 14,602.89 and 7,001.46

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Solution

The fourth proportional to 10,586.42, 14,602.89 and 7,001.46 is: 9,657.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.42 : 14,602.89 = 7,001.46 : x
  2. Step 2: Convert to fraction form
    10,586.42/14,602.89 = 7,001.46/x
  3. Step 3: Cross multiply
    10,586.42x = 14,602.89 × 7,001.46
  4. Step 4: Simplify right side
    10,586.42x = 102,241,550.22
  5. Step 5: Solve for x
    x = 102,241,550.22/10,586.42
  6. Step 6: Final answer
    x = 9,657.81

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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.