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Finding the Fourth Proportional to 7,890.40, 10,657.80 and 7,890.40

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Solution

The fourth proportional to 7,890.40, 10,657.80 and 7,890.40 is: 10,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890.40 : 10,657.80 = 7,890.40 : x
  2. Step 2: Convert to fraction form
    7,890.40/10,657.80 = 7,890.40/x
  3. Step 3: Cross multiply
    7,890.40x = 10,657.80 × 7,890.40
  4. Step 4: Simplify right side
    7,890.40x = 84,094,305.12
  5. Step 5: Solve for x
    x = 84,094,305.12/7,890.40
  6. Step 6: Final answer
    x = 10,657.80

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.