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Finding the Fourth Proportional to 10,552.61, 14,562.99 and 5,836.93

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Solution

The fourth proportional to 10,552.61, 14,562.99 and 5,836.93 is: 8,055.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.61 : 14,562.99 = 5,836.93 : x
  2. Step 2: Convert to fraction form
    10,552.61/14,562.99 = 5,836.93/x
  3. Step 3: Cross multiply
    10,552.61x = 14,562.99 × 5,836.93
  4. Step 4: Simplify right side
    10,552.61x = 85,003,051.22
  5. Step 5: Solve for x
    x = 85,003,051.22/10,552.61
  6. Step 6: Final answer
    x = 8,055.17

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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.