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Finding the Fourth Proportional to 12,387.96, 17,095.72 and 7,010

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Solution

The fourth proportional to 12,387.96, 17,095.72 and 7,010 is: 9,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,387.96 : 17,095.72 = 7,010 : x
  2. Step 2: Convert to fraction form
    12,387.96/17,095.72 = 7,010/x
  3. Step 3: Cross multiply
    12,387.96x = 17,095.72 × 7,010
  4. Step 4: Simplify right side
    12,387.96x = 119,840,997.20
  5. Step 5: Solve for x
    x = 119,840,997.20/12,387.96
  6. Step 6: Final answer
    x = 9,673.99

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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.