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Finding the Fourth Proportional to 7,253.42, 10,010.63 and 4,109.00

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Solution

The fourth proportional to 7,253.42, 10,010.63 and 4,109.00 is: 5,670.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.42 : 10,010.63 = 4,109.00 : x
  2. Step 2: Convert to fraction form
    7,253.42/10,010.63 = 4,109.00/x
  3. Step 3: Cross multiply
    7,253.42x = 10,010.63 × 4,109.00
  4. Step 4: Simplify right side
    7,253.42x = 41,133,638.89
  5. Step 5: Solve for x
    x = 41,133,638.89/7,253.42
  6. Step 6: Final answer
    x = 5,670.93

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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.