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Finding the Fourth Proportional to 12,715, 17,547.78 and 7,127.08

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Solution

The fourth proportional to 12,715, 17,547.78 and 7,127.08 is: 9,835.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715 : 17,547.78 = 7,127.08 : x
  2. Step 2: Convert to fraction form
    12,715/17,547.78 = 7,127.08/x
  3. Step 3: Cross multiply
    12,715x = 17,547.78 × 7,127.08
  4. Step 4: Simplify right side
    12,715x = 125,064,431.88
  5. Step 5: Solve for x
    x = 125,064,431.88/12,715
  6. Step 6: Final answer
    x = 9,835.98

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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.