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Finding the Fourth Proportional to 10,397.64, 14,348.70 and 5,681.91

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Solution

The fourth proportional to 10,397.64, 14,348.70 and 5,681.91 is: 7,841.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.64 : 14,348.70 = 5,681.91 : x
  2. Step 2: Convert to fraction form
    10,397.64/14,348.70 = 5,681.91/x
  3. Step 3: Cross multiply
    10,397.64x = 14,348.70 × 5,681.91
  4. Step 4: Simplify right side
    10,397.64x = 81,528,022.02
  5. Step 5: Solve for x
    x = 81,528,022.02/10,397.64
  6. Step 6: Final answer
    x = 7,841.01

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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.