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Finding the Fourth Proportional to 10,381.61, 15,566.43 and 7,098.68

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Solution

The fourth proportional to 10,381.61, 15,566.43 and 7,098.68 is: 10,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.61 : 15,566.43 = 7,098.68 : x
  2. Step 2: Convert to fraction form
    10,381.61/15,566.43 = 7,098.68/x
  3. Step 3: Cross multiply
    10,381.61x = 15,566.43 × 7,098.68
  4. Step 4: Simplify right side
    10,381.61x = 110,501,105.31
  5. Step 5: Solve for x
    x = 110,501,105.31/10,381.61
  6. Step 6: Final answer
    x = 10,643.93

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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.