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Finding the Fourth Proportional to 7,810.70, 10,778.56 and 4,787

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Solution

The fourth proportional to 7,810.70, 10,778.56 and 4,787 is: 6,605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.70 : 10,778.56 = 4,787 : x
  2. Step 2: Convert to fraction form
    7,810.70/10,778.56 = 4,787/x
  3. Step 3: Cross multiply
    7,810.70x = 10,778.56 × 4,787
  4. Step 4: Simplify right side
    7,810.70x = 51,596,966.72
  5. Step 5: Solve for x
    x = 51,596,966.72/7,810.70
  6. Step 6: Final answer
    x = 6,605.93

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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.