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Finding the Fourth Proportional to 7,780.57, 10,737.40 and 4,756.18

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Solution

The fourth proportional to 7,780.57, 10,737.40 and 4,756.18 is: 6,563.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.57 : 10,737.40 = 4,756.18 : x
  2. Step 2: Convert to fraction form
    7,780.57/10,737.40 = 4,756.18/x
  3. Step 3: Cross multiply
    7,780.57x = 10,737.40 × 4,756.18
  4. Step 4: Simplify right side
    7,780.57x = 51,069,007.13
  5. Step 5: Solve for x
    x = 51,069,007.13/7,780.57
  6. Step 6: Final answer
    x = 6,563.66

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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.