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Finding the Fourth Proportional to 10,602.86, 14,637.42 and 7,473.02

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Solution

The fourth proportional to 10,602.86, 14,637.42 and 7,473.02 is: 10,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.86 : 14,637.42 = 7,473.02 : x
  2. Step 2: Convert to fraction form
    10,602.86/14,637.42 = 7,473.02/x
  3. Step 3: Cross multiply
    10,602.86x = 14,637.42 × 7,473.02
  4. Step 4: Simplify right side
    10,602.86x = 109,385,732.41
  5. Step 5: Solve for x
    x = 109,385,732.41/10,602.86
  6. Step 6: Final answer
    x = 10,316.63

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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.