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Finding the Fourth Proportional to 10,547.15, 14,555.03 and 5,767.13

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Solution

The fourth proportional to 10,547.15, 14,555.03 and 5,767.13 is: 7,958.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.15 : 14,555.03 = 5,767.13 : x
  2. Step 2: Convert to fraction form
    10,547.15/14,555.03 = 5,767.13/x
  3. Step 3: Cross multiply
    10,547.15x = 14,555.03 × 5,767.13
  4. Step 4: Simplify right side
    10,547.15x = 83,940,757.72
  5. Step 5: Solve for x
    x = 83,940,757.72/10,547.15
  6. Step 6: Final answer
    x = 7,958.62

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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.