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Finding the Fourth Proportional to 7,235.60, 10,853.40 and 6,895.40

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Solution

The fourth proportional to 7,235.60, 10,853.40 and 6,895.40 is: 10,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.60 : 10,853.40 = 6,895.40 : x
  2. Step 2: Convert to fraction form
    7,235.60/10,853.40 = 6,895.40/x
  3. Step 3: Cross multiply
    7,235.60x = 10,853.40 × 6,895.40
  4. Step 4: Simplify right side
    7,235.60x = 74,838,534.36
  5. Step 5: Solve for x
    x = 74,838,534.36/7,235.60
  6. Step 6: Final answer
    x = 10,343.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.