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Finding the Fourth Proportional to 10,070.69, 15,107.56 and 5,137.63

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Solution

The fourth proportional to 10,070.69, 15,107.56 and 5,137.63 is: 7,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.69 : 15,107.56 = 5,137.63 : x
  2. Step 2: Convert to fraction form
    10,070.69/15,107.56 = 5,137.63/x
  3. Step 3: Cross multiply
    10,070.69x = 15,107.56 × 5,137.63
  4. Step 4: Simplify right side
    10,070.69x = 77,617,053.48
  5. Step 5: Solve for x
    x = 77,617,053.48/10,070.69
  6. Step 6: Final answer
    x = 7,707.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.