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Finding the Fourth Proportional to 11,042.77, 16,547.14 and 5,116.00

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Solution

The fourth proportional to 11,042.77, 16,547.14 and 5,116.00 is: 7,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.77 : 16,547.14 = 5,116.00 : x
  2. Step 2: Convert to fraction form
    11,042.77/16,547.14 = 5,116.00/x
  3. Step 3: Cross multiply
    11,042.77x = 16,547.14 × 5,116.00
  4. Step 4: Simplify right side
    11,042.77x = 84,655,139.66
  5. Step 5: Solve for x
    x = 84,655,139.66/11,042.77
  6. Step 6: Final answer
    x = 7,666.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.