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Finding the Fourth Proportional to 10,318.19, 14,239.11 and 5,602.47

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Solution

The fourth proportional to 10,318.19, 14,239.11 and 5,602.47 is: 7,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.19 : 14,239.11 = 5,602.47 : x
  2. Step 2: Convert to fraction form
    10,318.19/14,239.11 = 5,602.47/x
  3. Step 3: Cross multiply
    10,318.19x = 14,239.11 × 5,602.47
  4. Step 4: Simplify right side
    10,318.19x = 79,774,154.21
  5. Step 5: Solve for x
    x = 79,774,154.21/10,318.19
  6. Step 6: Final answer
    x = 7,731.41

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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.