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Finding the Fourth Proportional to 10,411.69, 14,368.13 and 5,696.07

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Solution

The fourth proportional to 10,411.69, 14,368.13 and 5,696.07 is: 7,860.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.69 : 14,368.13 = 5,696.07 : x
  2. Step 2: Convert to fraction form
    10,411.69/14,368.13 = 5,696.07/x
  3. Step 3: Cross multiply
    10,411.69x = 14,368.13 × 5,696.07
  4. Step 4: Simplify right side
    10,411.69x = 81,841,888.49
  5. Step 5: Solve for x
    x = 81,841,888.49/10,411.69
  6. Step 6: Final answer
    x = 7,860.58

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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.