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Finding the Fourth Proportional to 10,342.98, 15,411.75 and 9,840.87

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Solution

The fourth proportional to 10,342.98, 15,411.75 and 9,840.87 is: 14,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.98 : 15,411.75 = 9,840.87 : x
  2. Step 2: Convert to fraction form
    10,342.98/15,411.75 = 9,840.87/x
  3. Step 3: Cross multiply
    10,342.98x = 15,411.75 × 9,840.87
  4. Step 4: Simplify right side
    10,342.98x = 151,664,991.32
  5. Step 5: Solve for x
    x = 151,664,991.32/10,342.98
  6. Step 6: Final answer
    x = 14,663.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.