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Finding the Fourth Proportional to 10,412.40, 14,368.14 and 5,937.24

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Solution

The fourth proportional to 10,412.40, 14,368.14 and 5,937.24 is: 8,192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.40 : 14,368.14 = 5,937.24 : x
  2. Step 2: Convert to fraction form
    10,412.40/14,368.14 = 5,937.24/x
  3. Step 3: Cross multiply
    10,412.40x = 14,368.14 × 5,937.24
  4. Step 4: Simplify right side
    10,412.40x = 85,307,095.53
  5. Step 5: Solve for x
    x = 85,307,095.53/10,412.40
  6. Step 6: Final answer
    x = 8,192.84

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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.