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Finding the Fourth Proportional to 10,864.18, 14,992.93 and 6,148.36

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Solution

The fourth proportional to 10,864.18, 14,992.93 and 6,148.36 is: 8,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.18 : 14,992.93 = 6,148.36 : x
  2. Step 2: Convert to fraction form
    10,864.18/14,992.93 = 6,148.36/x
  3. Step 3: Cross multiply
    10,864.18x = 14,992.93 × 6,148.36
  4. Step 4: Simplify right side
    10,864.18x = 92,181,931.09
  5. Step 5: Solve for x
    x = 92,181,931.09/10,864.18
  6. Step 6: Final answer
    x = 8,484.94

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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.