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Finding the Fourth Proportional to 7,461.94, 10,301.70 and 6,705.40

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Solution

The fourth proportional to 7,461.94, 10,301.70 and 6,705.40 is: 9,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.94 : 10,301.70 = 6,705.40 : x
  2. Step 2: Convert to fraction form
    7,461.94/10,301.70 = 6,705.40/x
  3. Step 3: Cross multiply
    7,461.94x = 10,301.70 × 6,705.40
  4. Step 4: Simplify right side
    7,461.94x = 69,077,019.18
  5. Step 5: Solve for x
    x = 69,077,019.18/7,461.94
  6. Step 6: Final answer
    x = 9,257.25

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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.