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Finding the Fourth Proportional to 10,316.64, 14,243.16 and 6,786

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Solution

The fourth proportional to 10,316.64, 14,243.16 and 6,786 is: 9,368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.64 : 14,243.16 = 6,786 : x
  2. Step 2: Convert to fraction form
    10,316.64/14,243.16 = 6,786/x
  3. Step 3: Cross multiply
    10,316.64x = 14,243.16 × 6,786
  4. Step 4: Simplify right side
    10,316.64x = 96,654,083.76
  5. Step 5: Solve for x
    x = 96,654,083.76/10,316.64
  6. Step 6: Final answer
    x = 9,368.76

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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.