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Finding the Fourth Proportional to 7,303, 10,078.50 and 4,159.48

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Solution

The fourth proportional to 7,303, 10,078.50 and 4,159.48 is: 5,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303 : 10,078.50 = 4,159.48 : x
  2. Step 2: Convert to fraction form
    7,303/10,078.50 = 4,159.48/x
  3. Step 3: Cross multiply
    7,303x = 10,078.50 × 4,159.48
  4. Step 4: Simplify right side
    7,303x = 41,921,319.18
  5. Step 5: Solve for x
    x = 41,921,319.18/7,303
  6. Step 6: Final answer
    x = 5,740.29

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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.