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Finding the Fourth Proportional to 10,070.49, 13,897.31 and 5,594.13

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Solution

The fourth proportional to 10,070.49, 13,897.31 and 5,594.13 is: 7,719.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.49 : 13,897.31 = 5,594.13 : x
  2. Step 2: Convert to fraction form
    10,070.49/13,897.31 = 5,594.13/x
  3. Step 3: Cross multiply
    10,070.49x = 13,897.31 × 5,594.13
  4. Step 4: Simplify right side
    10,070.49x = 77,743,330.82
  5. Step 5: Solve for x
    x = 77,743,330.82/10,070.49
  6. Step 6: Final answer
    x = 7,719.91

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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.