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Finding the Fourth Proportional to 7,541.40, 10,407.08 and 4,184.72

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Solution

The fourth proportional to 7,541.40, 10,407.08 and 4,184.72 is: 5,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.40 : 10,407.08 = 4,184.72 : x
  2. Step 2: Convert to fraction form
    7,541.40/10,407.08 = 4,184.72/x
  3. Step 3: Cross multiply
    7,541.40x = 10,407.08 × 4,184.72
  4. Step 4: Simplify right side
    7,541.40x = 43,550,715.82
  5. Step 5: Solve for x
    x = 43,550,715.82/7,541.40
  6. Step 6: Final answer
    x = 5,774.88

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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.