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Finding the Fourth Proportional to 10,397.09, 14,348.03 and 5,681.47

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Solution

The fourth proportional to 10,397.09, 14,348.03 and 5,681.47 is: 7,840.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.09 : 14,348.03 = 5,681.47 : x
  2. Step 2: Convert to fraction form
    10,397.09/14,348.03 = 5,681.47/x
  3. Step 3: Cross multiply
    10,397.09x = 14,348.03 × 5,681.47
  4. Step 4: Simplify right side
    10,397.09x = 81,517,902.00
  5. Step 5: Solve for x
    x = 81,517,902.00/10,397.09
  6. Step 6: Final answer
    x = 7,840.45

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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.