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Finding the Fourth Proportional to 7,917, 10,925.64 and 5,127.36

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Solution

The fourth proportional to 7,917, 10,925.64 and 5,127.36 is: 7,075.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917 : 10,925.64 = 5,127.36 : x
  2. Step 2: Convert to fraction form
    7,917/10,925.64 = 5,127.36/x
  3. Step 3: Cross multiply
    7,917x = 10,925.64 × 5,127.36
  4. Step 4: Simplify right side
    7,917x = 56,019,689.51
  5. Step 5: Solve for x
    x = 56,019,689.51/7,917
  6. Step 6: Final answer
    x = 7,075.87

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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.