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Finding the Fourth Proportional to 7,386.60, 10,193.75 and 4,029.62

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Solution

The fourth proportional to 7,386.60, 10,193.75 and 4,029.62 is: 5,561.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.60 : 10,193.75 = 4,029.62 : x
  2. Step 2: Convert to fraction form
    7,386.60/10,193.75 = 4,029.62/x
  3. Step 3: Cross multiply
    7,386.60x = 10,193.75 × 4,029.62
  4. Step 4: Simplify right side
    7,386.60x = 41,076,867.76
  5. Step 5: Solve for x
    x = 41,076,867.76/7,386.60
  6. Step 6: Final answer
    x = 5,561.00

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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.