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Finding the Fourth Proportional to 10,090, 15,148.91 and 6,962.59

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Solution

The fourth proportional to 10,090, 15,148.91 and 6,962.59 is: 10,453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090 : 15,148.91 = 6,962.59 : x
  2. Step 2: Convert to fraction form
    10,090/15,148.91 = 6,962.59/x
  3. Step 3: Cross multiply
    10,090x = 15,148.91 × 6,962.59
  4. Step 4: Simplify right side
    10,090x = 105,475,649.28
  5. Step 5: Solve for x
    x = 105,475,649.28/10,090
  6. Step 6: Final answer
    x = 10,453.48

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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.